Question

9. Which of the following graphs represents the solution set for 5x + 38 ≤ 4(2 – 5x)?

Answer 1

We are given the following inequality.

`5x+38 \leq 4(2-5x)`

Apply the distributive property on the right side:

`5x+38\leq 8-20x`

Add both sides by 20x:

`5x+38+20x\leq 8-20x+20x`

`25x+38\leq 8`

Subtract both sides by 38:

`25x+38-38\leq 8-38`

`25x\leq -30`

Divide both sides by 25:

`25x/25\leq -30/25`

`x\leq -6/5`

Out of all the options, only option A accurately depicts this inequality. Thus, the answer is option A.

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