Solve Two-Step Inequalities Quick Check
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1 of 5 Items
Question
Solve 8x+4≥52.(1 point)
Responses
x≥7
x greater than or equal to 7
x≥2.5
x greater than or equal to 2.5
x≥6
x greater than or equal to 6
x≥11
To solve the two-step inequality 8x + 4 ≥ 52, we first subtract 4 from both sides to isolate the term with the variable:
8x + 4 - 4 ≥ 52 - 4
8x ≥ 48
Next, we divide both sides by 8 to solve for x:
8x/8 ≥ 48/8
x ≥ 6
Therefore, the correct answer is x ≥ 6.
Solve 1/4x−3/4>5 1/4 .(1 point)
Responses
x>24
x greater than 24
x>1 1/2
x greater than 1 Start Fraction 1 over 2 end fraction
x>18
x greater than 18
x>21 3/4
To solve the two-step inequality 1/4x - 3/4 > 5 1/4, we first add 3/4 to both sides to isolate the term with the variable:
1/4x - 3/4 + 3/4 > 5 1/4 + 3/4
1/4x > 6
Now, we need to multiply both sides by 4 to eliminate the fraction:
(1/4x)(4) > 6(4)
x > 24
Therefore, the correct answer is x > 24.