Question

question solve for x and graph the solution on the number line below. if possible, resolve your answer to a single inequality. in case of no solution (∅), leave the number line blank. 7 ≥ 2x - 1 and 15 ≥ 2x - 1 answer attempt 2 out of 2 < > ≤ ≥ or ∅ ℝ inequality notation: number line:

Explanation:

Step1: Solve the first inequality

Add 1 to both sides of $7\geq2x - 1$: $7 + 1\geq2x-1 + 1$, which simplifies to $8\geq2x$. Then divide both sides by 2, getting $x\leq4$.

Step2: Solve the second inequality

Add 1 to both sides of $15\geq2x - 1$: $15 + 1\geq2x-1 + 1$, which simplifies to $16\geq2x$. Then divide both sides by 2, getting $x\leq8$.

Step3: Find the combined solution

Since we have $x\leq4$ and $x\leq8$, taking the intersection of the two - solution sets, the overall solution is $x\leq4$.

Answer:

$x\leq4$