Question

solve the compound inequality. 4y + 5 < 25 or -2y < 2. graph the solution on the number line. if there is no solution, click on
o solution\. your answer

Explanation:

Step1: Solve the first inequality

Solve $4y + 5<25$. Subtract 5 from both sides: $4y<25 - 5$, so $4y<20$. Then divide both sides by 4, we get $y < 5$.

Step2: Solve the second inequality

Solve $-2y<2$. Divide both sides by - 2. When dividing an inequality by a negative number, the direction of the inequality sign changes. So $y>-1$.

The solution of the compound - inequality is $-1 < y < 5$.

Answer:

The solution set is all real numbers $y$ such that $-1 < y < 5$. On a number - line, we would have an open circle at $y=-1$ and an open circle at $y = 5$, and shade the region between them.