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QUESTION IMAGE

solve the inequality $y - 2 > 3$. $y > 5$ graph the solution set of the…

Question

solve the inequality $y - 2 > 3$.
$y > 5$
graph the solution set of the inequality.
(number line from -10 to 10 with tick marks at each integer, and some graphing icons below the number line)

Explanation:

Step1: Solve the inequality

Add 2 to both sides: $y - 2 + 2 > 3 + 2 \implies y > 5$

Step2: Graph the solution

Mark an open circle at 5 (since 5 is not included) and draw an arrow to the right (for values greater than 5).

Answer:

$y > 5$
(Graph: Open circle at 5 on the number line, arrow pointing right)