Question

question
solve for x and graph the solution on the number line below.

x + 10 ≤ 15

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

Explanation:

Step1: Isolate the variable

Subtract 10 from both sides of the inequality \(x + 10\leq15\).
$$x+10 - 10\leq15 - 10$$

Step2: Simplify

Simplify the left - hand side \(x+10 - 10=x\) and the right - hand side \(15 - 10 = 5\). So, \(x\leq5\).

Answer:

Inequality Notation: \(x\leq5\)

To graph \(x\leq5\) on the number line:

• Place a closed circle (because the inequality includes equality, i.e., \(\leq\)) at \(x = 5\).
• Shade the line to the left of \(5\) (since \(x\) can be any number less than or equal to \(5\)).