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solve and graph -5 < 1/2(2m +6) ≤ 13

Sagot :

Answer:

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

Hope that helped :)  

Step-by-step explanation:

Answer:

-8 < m ≤ 10

Step-by-step explanation:

Step 1: Simplify all parts of the inequality.

  • [tex]-5 < (1/2)(2m) + (1/2)(6) \leq 13[/tex]
  • [tex]-5 < m + 3 \leq 13[/tex]

Step 2: Subtract 3 from all sections.

  • [tex]-5 - 3 < m + 3 - 3 \leq 13-3[/tex]
  • [tex]-8 < m \leq 10[/tex]

Therefore, the answer is -8 < m ≤ 10.

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