Question

write the inequality solution for each graph shown. use x as the variable. 3. graph with number - line from - 4 to 3, blue line from open - circle at - 3 to closed - circle at 2 4. graph with number - line from - 3 to 4, blue line from closed - circle at - 2 to closed - circle at 1 5. graph with number - line from - 3 to 4, blue line from closed - circle at 1 to closed - circle at 3 solve each inequality below. graph the solution on a number line. 6. 2x + 7>15 7. $\frac{x}{2}-7leq - 5$

Explanation:

Step1: Solve inequality 6

Subtract 7 from both sides of $2x + 7>15$.
$2x+7 - 7>15 - 7$, which simplifies to $2x>8$. Then divide both sides by 2: $x > 4$.

Step2: Solve inequality 7

Add 7 to both sides of $\frac{x}{2}-7\leq - 5$.
$\frac{x}{2}-7 + 7\leq - 5+7$, which gives $\frac{x}{2}\leq2$. Multiply both sides by 2: $x\leq4$.

Answer:

1. $x > 4$
2. $x\leq4$