Solve 8x+4≥52 .(1 point)

Responses

x≥6
x greater than or equal to 6

x≥7
x greater than or equal to 7

x≥2.5
x greater than or equal to 2.5

x≥11

None of the given responses are correct. The correct solution is x ≥ 6.

Solve 1/4x−3/4>5 1/4 .(1 point)

Responses

x>21 3/4
x greater than 21 ​Start Fraction 3 over 4 end fraction

x>18
x greater than 18

x>1 1/2
x greater than ​1 Start Fraction 1 over 2 end fraction

x>24

The correct solution is x > 24.

Solve 14x−34>514 .(1 point)

Responses

x>18
x greater than 18

x>24
x greater than 24

x>112
x greater than ​1 Start Fraction 1 over 2 end fraction

x>2134

Solve the inequality 6x+9>57 . Which of the following graphs shows the solution?(1 point)

Responses

A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 11. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 2.
Image with alt text: A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 11. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 2.

A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 11. A rightward arrow is marked on the number line that originates at the open point and goes beyond 18.
Image with alt text: A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 11. A rightward arrow is marked on the number line that originates at the open point and goes beyond 18.

A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 8. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 2.
Image with alt text: A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 8. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 2.

A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 8. A rightward arrow is marked on the number line that originates at the open point and goes beyond 18.
Image with alt text: A number line is shown ranging from negative 2 to 18 with numbers listed in unit increments. An open point is plotted on the number line at 8. A rightward arrow is marked on the number line that originates at the open point and goes beyond 18.

Use the image to answer the question.

A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 5. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10.

Hessa solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?

(1 point)
Responses

15x−35≤25
Start Fraction 1 over 5 end fraction x minus Start Fraction 3 over 5 end fraction less than or equal to Start Fraction 2 over 5 end fraction

25x−45≥115
Start Fraction 2 over 5 end fraction x minus Start Fraction 4 over 5 end fraction greater than or equal to 1 Start Fraction 1 over 5 end fraction

35x+25≥325
Start Fraction 3 over 5 end fraction x plus Start Fraction 2 over 5 end fraction greater than or equal to 3 Start Fraction 2 over 5 end fraction

37x+17≤167

Solve the inequality 9.5x−1.25<32 . Which of the following graphs shows the solution?(1 point)

Responses

A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line between 3 and 4. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.
Image with alt text: A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line between 3 and 4. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.

A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 4 and 5, just before 5. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10.
Image with alt text: A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 4 and 5, just before 5. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10.

A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line between 3 and 4, just after the 3. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.
Image with alt text: A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line between 3 and 4, just after the 3. A leftward arrow is marked on the number line that originates at the open point and goes beyond negative 10.

A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 3 and 4. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10.
Image with alt text: A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 3 and 4. A leftward arrow is marked on the number line that originates at the closed point and goes beyond negative 10.
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