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Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the

solution set of this problem?

User Deadfish
by
6.5k points

2 Answers

2 votes

Answer:

B (-∞, -21]

Explanation:

edge

User Louis Kurniawan
by
7.4k points
1 vote

Answer:

The solution set of this problem is x ≤ -21

Explanation:

x = a number that five times the sum of it and 27 is greater than or equal to six times the sum of it and 26

Let's solve for x, using the inequality given:

5 (x + 27) ≥ 6 (x + 26)

5x + 135 ≥ 6x + 156

5x - 6x ≥ 156 - 135

-x ≥ 21

x ≤ - 21 [Multiplying by -1 at both sides requires the flipping of the inequality sign]

The solution set of this problem is x ≤ -21

User Frank Martin
by
7.3k points