Question

solve for x and graph the solution on the number line below. ( x + 10 leq 15 ) answer attempt 1 out of 2 inequality notation: \boxed{} number line: number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 submit answer

Explanation:

Step1: Subtract 10 from both sides

To solve for \( x \) in the inequality \( x + 10 \leq 15 \), we subtract 10 from both sides of the inequality. This is based on the subtraction property of inequalities, which states that if we subtract the same number from both sides of an inequality, the inequality sign remains the same.
\[
x + 10 - 10 \leq 15 - 10
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( x+10 - 10=x \). Simplifying the right - hand side, \( 15 - 10 = 5 \). So we get:
\[
x\leq5
\]

Answer:

Inequality Notation: \( x\leq5 \)
For the number line: We draw a closed circle at 5 (because the inequality is "less than or equal to") and shade the line to the left of 5 to represent all values of \( x \) that satisfy \( x\leq5 \).