Question

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

• Draw a number - line.
• Place an open circle at \(x=-1\) (because the inequality is \(>\), not \(\geq\)).
• Shade the region to the right of \(x = - 1\) since \(x\) is greater than \(-1\).