solve the inequality and graph the solution.$\frac{h}{-2} + 2 1$to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.$-5$ $-4$ $-3$ $-2$ $-1$ $0$ $1$ $2$ $3$ $4$ $5$submit

Question

solve the inequality and graph the solution.$\frac{h}{-2} + 2 > 1$to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.$-5$ $-4$ $-3$ $-2$ $-1$ $0$ $1$ $2$ $3$ $4$ $5$submit

Accepted Answer

# Explanation: ## Step1: Subtract 2 from both sides To isolate the term with $ h $, we subtract 2 from both sides of the inequality $\frac{h}{-2}+2 > 1$. This gives us $\frac{h}{-2}+2 - 2>1 - 2$, which simplifies to $\frac{h}{-2}>-1$. ## Step2: Multiply both sides by -2 (and reverse inequality) When we multiply or divide an inequality by a negative number, we must reverse the inequality sign. So, multiplying both sides of $\frac{h}{-2}>-1$ by -2 gives $h < (-1)\times(-2)$, which simplifies to $h < 2$. # Answer: The solution to the inequality is $h < 2$. To graph this, plot an open circle at 2 (since the inequality is strict, $h eq2$) and draw an arrow to the left (indicating all values less than 2).

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Subtract 2 from both sides

Step2: Multiply both sides by -2 (and reverse inequality)

Answer: