Question

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.

Answer 1

• 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)