Solve x - 2.41 > 4.76(1 point)
Responses
x < 2.35
x < 2.35
x > 7.17
x > 7.17
x < 7.17
x < 7.17
x > 2.35
x > 2.35
To solve the inequality x - 2.41 > 4.76, we need to isolate x on one side of the inequality sign.
First, add 2.41 to both sides of the inequality:
x - 2.41 + 2.41 > 4.76 + 2.41
x > 7.17
Therefore, the solution to the inequality x - 2.41 > 4.76 is x > 7.17.
Use the image to answer the question.
Josie solved an inequality and graphed the solution on the number line. Which or the following inequalities did she solve?
(1 point)
Responses
x + 1.25 ≥
1.25
x + 1.25 is greater than or equal to 1.25
x + 0.5 < 3
x + 0.5 < 3
x - 1.25 ≥
1.25
x - 1.25 is greater than or equal to 1.25
x - 1.25 ≤
1.25
x - 1.25 is less than or equal to 1.25
Based on the image, Josie graphed an inequality where x - 1.25 is less than or equal to 1.25.
Therefore, the inequality she solved is x - 1.25 ≤ 1.25.
Solve 1.7x ≥ 5.95
(1 point)
Responses
x ≥
7.65
x is greater than or equal to 7.65
x ≥
3.5
x is greater than or equal to 3.5
x ≥
4.25
x is greater than or equal to 4.25
x ≥
10.115
x is greater than or equal to 10.115
To solve the inequality 1.7x ≥ 5.95, we need to isolate x on one side of the inequality sign.
First, divide both sides of the inequality by 1.7:
(1.7x)/1.7 ≥ 5.95/1.7
x ≥ 3.5
Therefore, the solution to the inequality 1.7x ≥ 5.95 is x ≥ 3.5.
Solve 7x + 9 < 58(1 point)
Responses
x < 343
x < 343
x < 397
x < 397
x < 947
x < 9 and 4 sevenths
x < 7
To solve 7x + 9 < 58, we need to isolate x on one side of the inequality sign.
First, subtract 9 from both sides of the inequality:
7x + 9 - 9 < 58 - 9
7x < 49
Next, divide both sides of the inequality by 7:
(7x)/7 < 49/7
x < 7
Therefore, the solution to the inequality 7x + 9 < 58 is x < 7.
Eric is solving the inequality 9x + 15 ≥
51 and graphing the solution. Which of the following describe the steps he should take using inverse operations to solve? (1 point)
Responses
Divide both sides of the inequality by 9 and then subtract 15 from both sides of the inequality.
Divide both sides of the inequality by 9 and then subtract 15 from both sides of the inequality.
Subtract 15 from both sides of the inequality and then multiply both sides of the inequality by 9.
Subtract 15 from both sides of the inequality and then multiply both sides of the inequality by 9.
Divide both sides of the inequality by 9 and then add 15 to both sides of the inequality.
Divide both sides of the inequality by 9 and then add 15 to both sides of the inequality.
Subtract 15 from both sides of the inequality and then divide both sides of the inequality by 9.
Subtract 15 from both sides of the inequality and then divide both sides of the inequality by 9.
Question 2
Help Eric draw his answer on the number line by selecting the correct responses below.
(2 points)
Eric would plot the point given in the solution on the number line with a(n)
circle and shade to the
of the point on the number line.
To solve the inequality 9x + 15 ≥ 51 using inverse operations, Eric should follow these steps:
1. Subtract 15 from both sides of the inequality:
9x + 15 - 15 ≥ 51 - 15
9x ≥ 36
2. Divide both sides of the inequality by 9:
(9x)/9 ≥ 36/9
x ≥ 4
Therefore, Eric should divide both sides of the inequality by 9 and subtract 15 from both sides of the inequality.
To represent the solution on a number line, Eric would plot the point x = 4 with a closed circle and shade to the right (since the inequality is x ≥ 4).
Help Eric draw his answer on the number line by selecting the correct responses below.
(2 points)
Eric would plot the point given in the solution on the number line with a(n)
circle and shade to the
of the point on the number line.