Cumulative Assessment
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When solving the inequality, do we divide or multiply by a negative number at any point?
≤
When isolating x, keep in mind that dividing by a negative number reverses an inequality sign.
Distribute -3
LHS+21 RHS+21
Divide by -3 and flip inequality sign
Now let's look at the given number line.
The solution set of the inequality represented by the graph is the set of all x values greater than or equal to 1. Let's write this inequality. x ≥ 1 But as we discussed, the inequality sign reversed when we divided by - 3 in the last step of the solution. For us to end up at the correct solution, we have to flip the inequality sign. -3(x+7) ≤ -24