Question

solve the inequality -7x > 21. what is the graph of the solution?

Explanation:

Step1: Divide both sides by -7

When dividing an inequality by a negative number, the inequality sign flips. So $\frac{-7x}{-7}<\frac{21}{-7}$.

Step2: Simplify

$x < - 3$. The graph has an open - circle at $-3$ (since $x$ is less than, not less than or equal to) and the line extends to the left.

Answer:

The first option (open - circle at -3, line extending left)