Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your solve for x and choose the correct solution: ( x - 3 leq -2 ) ( x leq -5 ) (with a number line graph), ( x leq -5 ) (with a number line graph), ( x leq 1 ) (with a number line graph), ( x leq 1 ) (with a number line graph)

Explanation:

Step1: Solve the inequality

Add \(3\) to both sides of \(x - 3\leq - 2\).
$$x-3 + 3\leq - 2+3$$

Step2: Simplify the expression

Simplify the left - hand side \(x-3 + 3=x\) and the right - hand side \(-2 + 3 = 1\). So \(x\leq1\).
When graphing \(x\leq1\) on a number line, we use a closed circle at \(x = 1\) (because the inequality includes equality, \(\leq\)) and shade to the left.

Answer:

The correct solution is \(x\leq1\) with a closed - circle at \(1\) and shading to the left.