Question

solve the inequality and graph the solution on the line provided.
3 - 5x > -2
answer attempt 2 out of 2
< > ≤ ≥ 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 by a negative number in an inequality, 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 the inequality is strict, \(x
eq1\)) and shade the line to the left of \(1\) (since \(x\) is less than \(1\)).