Question

a. ( 8x + 7 = 119 ) c. ( 2x + 3 = -15 ) d. ( 5x - 9 = 12 ) 36. solve the inequality and graph the solution on the line provided. ( 7x - 39 leq -53 )

Explanation:

Step1: Add 39 to both sides

$$7x-39 + 39\leq -53 + 39$$
$$7x\leq -14$$

Step2: Divide both sides by 7

$$\frac{7x}{7}\leq\frac{-14}{7}$$
$$x\leq - 2$$

To graph \(x\leq - 2\) on the number - line:

• Place a closed circle at \(x = - 2\) (because the inequality is \(\leq\), which includes the value \(x=-2\)).
• Shade the line to the left of \(x = - 2\) (since \(x\) is less than or equal to \(-2\)).

Answer:

The solution of the inequality \(7x-39\leq - 53\) is \(x\leq - 2\). On the number - line, there is a closed circle at \(-2\) and the line is shaded to the left of \(-2\).