Question

solve the inequality and graph the solution on the line provided.

4x + 45 ≤ 57

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Subtract 45 from both sides

$$4x+45 - 45\leq57 - 45$$
$$4x\leq12$$

Step2: Divide both sides by 4

$$\frac{4x}{4}\leq\frac{12}{4}$$
$$x\leq3$$

Answer:

Inequality Notation: \(x\leq3\)

For the number - line: Place a closed circle at \(x = 3\) (because the inequality is \(\leq\), which includes the value \(x = 3\)) and draw a line to the left of \(3\) towards the negative infinity.