Question

solve the inequality -5x < 10 and select the graph of the solutions.

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-5x < 10\) by \(-5\):
\(\frac{-5x}{-5} > \frac{10}{-5}\)

Step2: Simplify both sides

Simplify the left side: \(\frac{-5x}{-5} = x\).
Simplify the right side: \(\frac{10}{-5} = -2\).
So the solution is \(x > -2\).

For the graph: The solution \(x > -2\) is represented by an open circle at \(-2\) (since \(x\) is not equal to \(-2\)) and an arrow pointing to the right (toward positive infinity).

Answer:

The solution to the inequality is \(x > -2\). The graph should have an open circle at \(-2\) and a line (or arrow) extending to the right of \(-2\).