Question

solve the inequality and graph the solution on the line provided.
-5 + 7x > -12
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 5 to both sides

$$-5 + 7x+5>-12 + 5$$
$$7x>-7$$

Step2: Divide both sides by 7

$$\frac{7x}{7}>\frac{-7}{7}$$
$$x > - 1$$

Answer:

Inequality Notation: \(x>-1\)

For the number - line: Place an open circle at \(-1\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.