Question

solve the linear inequality for w and graph the answer in the number line. then write the solution in inequality notation.
$5 \leq w - 5$
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Add 5 to both sides

To solve for \( w \), we add 5 to both sides of the inequality \( 5 \leq w - 5 \). This gives us \( 5 + 5 \leq w - 5 + 5 \).

Step2: Simplify both sides

Simplifying the left side \( 5 + 5 = 10 \) and the right side \( w - 5 + 5 = w \). So the inequality becomes \( 10 \leq w \) or \( w \geq 10 \).

Answer:

The solution to the inequality \( 5 \leq w - 5 \) is \( w \geq 10 \). For the number line graph, we would have a closed circle at 10 (since the inequality is "greater than or equal to") and an arrow pointing to the right (indicating all values greater than or equal to 10). The inequality notation is \( w \geq 10 \).