Question

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

3 - 5x > -2

answer attempt 1 out of a

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Subtract 3 from both sides

$$3 - 5x-3>-2 - 3$$
$$-5x>-5$$

Step2: Divide both sides by - 5 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-5x}{-5}<\frac{-5}{-5}$$
$$x < 1$$

Answer:

Inequality Notation: \(x < 1\)

For the number - line: Draw an open circle at \(x = 1\) (because \(x\) is not equal to \(1\)) and shade the part of the number - line to the left of \(1\).