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30 votes
30 votes
Solve and graph -5 < 1/2(2m +6) ≤ 13

User Rubergly
by
2.9k points

2 Answers

15 votes
15 votes

Answer:

-8 < m ≤ 10

Explanation:

Step 1: Simplify all parts of the inequality.


  • -5 < (1/2)(2m) + (1/2)(6) \leq 13

  • -5 < m + 3 \leq 13

Step 2: Subtract 3 from all sections.


  • -5 - 3 < m + 3 - 3 \leq 13-3

  • -8 < m \leq 10

Therefore, the answer is -8 < m ≤ 10.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

User AnotherMike
by
2.7k points
16 votes
16 votes

Answer:

The answer is -8<m\le \:10

Hope that helped :)

Explanation:

User Locriani
by
2.6k points