Question

Choose the graph of the solution to this inequality. –6x < 21

A. A number line with a closed dot at negative 3 points 5 shaded to the left.
B. A number line with a closed dot at negative 3 points 5 shaded to the right.
C. A number line with an open dot at negative 3 points 5 shaded to the left.
D. A number line with an open dot at negative 3 points 5 shaded to the right.

Answer 1

The graph that represents the solution to the inequality -6x < 21 is a number line with a closed dot at -3.5 shaded to the right.

Step-by-step explanation:

The inequality is –6x < 21. To solve this inequality, we need to isolate x. We start by dividing both sides of the inequality by -6. Remember that dividing by a negative number reverses the inequality sign. So, dividing both sides by -6 results in x > -3.5.

Now, let's represent this solution on a number line. We place a closed dot at -3.5 and shade to the right, indicating that x is greater than -3.5. Therefore, the graph that represents the solution to the inequality -6x < 21 is a number line with a closed dot at -3.5 shaded to the right.