Question

Solve the inequality and graph its solution. \(-3 \leq y+2\)

Short answer

The solution to the inequality \(-3 \leq y+2\) is \(y \geq -5\). This includes all values greater than or equal to -5.

Step-by-step solution

Solve the inequality

To solve the inequality \(-3 \leq y+2\), start by subtracting 2 from both sides to isolate the variable y. This process is similar to solving an equality. Hence this becomes: \(-3 - 2 \leq y+2 - 2\), as a result we get \(y \geq -5\).

Graphing the solution

Next, graph the solution of the inequality. Start at -5 on the number line. Since the inequality sign is 'greater than or equal to', make a solid circle at -5. This solid circle implies that -5 is part of the solution. Draw a line to the right from the circle, showing that all numbers greater than or equal to -5 are part of the solution.