Question

solve for ( x ) and graph the solution on the number line below.

( -5x lt -35 )

answer attempt 1 out of 2

inequality notation:

number line:

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the inequality sign flips. So, $\frac{-5x}{-5}>\frac{-35}{-5}$.

Step2: Simplify

Simplifying gives $x > 7$.

Answer:

Inequality Notation: $x>7$

To graph on the number line: Place an open circle at $7$ (since $7$ is not included in the solution) and draw an arrow to the right (towards larger numbers) to represent all values greater than $7$.