Question

solve the inequality and graph the solution on the line provided. 4x + 45 ≤ 57 answer < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line

Explanation:

Step1: Isolate the term with x

Subtract 45 from both sides of the inequality $4x + 45\leq57$.
$4x+45 - 45\leq57 - 45$
$4x\leq12$

Step2: Solve for x

Divide both sides of the inequality $4x\leq12$ by 4.
$\frac{4x}{4}\leq\frac{12}{4}$
$x\leq3$

Answer:

$\leq$
Inequality Notation: $x\leq3$
For the number - line, you would plot a closed circle at 3 (because the inequality is $\leq$) and draw a line to the left of 3.