=1548886741 Fayette County Schools Odysseyware Assignment - 6. Quiz 1: Solving Inequalities ASSIGNMENTS COURSES Attempt 1 of 3 3 4 5 6 1 8 9 Select the correct solution set. 50≥ 15x x|x>10/3 x|x≥ 10/3 x|x≤ 10/3 NEXT QU TION ASK FOR HELP Copyright © 2023 Imagine Learning LLC. All rights reserved.

=1548886741 Fayette County Schools Odysseyware Assignment – 6. Quiz 1: Solving Inequalities ASSIGNMENTS COURSES Attempt 1 of 3 3 4 5 6 1 8 9 Select the correct solution set. 50≥ 15x x|x>10/3 x|x≥ 10/3 x|x≤ 10/3 NEXT QU TION ASK FOR HELP Copyright © 2023 Imagine Learning LLC. All rights reserved.

The answer is { x|x\leq 10/3}

Explanation

  1. Divide both sides of the inequality by 15.
    $$\frac{50}{15} \geq \frac{15x}{15}$$
  2. Simplify the inequality.
    $$\frac{10}{3} \geq x$$
  3. Rewrite the inequality so that x is on the left side.
    $$x \leq \frac{10}{3}$$

Related

Researchers investigated the possible beneficial effect on heart health of drinking black tea and whether adding milk to tea reduces any possible benefit. Twenty-four volunteers were randomly assigned to one of three groups. Every day for a month, participants in group 1 drank two cups of hot black tea without milk, participants in group 2 drank two cups of hot black tea with milk, and participants in group 3 drank two cups of hot water but no tea. At the end of the month, the researchers measured the change in each of the participants’ heart health.