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7. which graph shows the solutions for 28 ≥ 4(6x - 11)?

Question

  1. which graph shows the solutions for 28 ≥ 4(6x - 11)?

Explanation:

Step1: Expand the right - hand side

$28\geq4(6x - 11)$ becomes $28\geq24x-44$.

Step2: Add 44 to both sides

$28 + 44\geq24x-44 + 44$, so $72\geq24x$.

Step3: Divide both sides by 24

$\frac{72}{24}\geq\frac{24x}{24}$, which simplifies to $3\geq x$ or $x\leq3$.
The solution on a number - line is a closed circle at 3 (because the inequality is $\leq$) and an arrow pointing to the left.

Answer:

The second graph (the one with a closed circle at 3 and an arrow pointing to the left)