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Solve the compound inequality.
-2x < -10 and x-5<6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Respuesta :

mhanifa

Answer:

  • 5 < x < 11  or x ∈ (5, 11)

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Given compound inequality:

  • - 2x < - 10 and x - 5 < 6

Solve each inequality:

  • - 2x < - 10               Divide both sides by - 2, it flips the inequality sign
  • x > 5

  • x - 5 < 6                  Add 5 to both sides
  • x < 11

Solution is:

  • 5 < x < 11

or

  • x ∈ (5, 11)

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