Solve Two-Step Inequalities Quick Check

Question

1 of 5
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

Answer 1

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.

Answer 2

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

Answer 3

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.