Question

solve and graph the following inequality: 5x ≤ -35
provide an answer accurate to the nearest tenth.
inequality:
graph:
number line options

Explanation:

Step1: Isolate the variable \( x \)

Divide both sides of the inequality \( 5x\leq - 35 \) by \( 5 \).
$$\frac{5x}{5}\leq\frac{-35}{5}$$

Step2: Simplify

Simplify the left - hand side \( \frac{5x}{5}=x \) and the right - hand side \( \frac{-35}{5}=-7 \).

Answer:

The solution of the inequality is \( x\leq - 7 \). To graph this on a number line:

• Place a closed circle (because the inequality includes equality, i.e., \( \leq \)) at \( x = - 7 \).
• Shade the line to the left of \( - 7 \) (since \( x \) is less than or equal to \( - 7 \)).