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19 votes
Solve the following inequality.
-10 < 5 + X <-5
[?] < < <[ ]
Enter

Solve the following inequality. -10 < 5 + X <-5 [?] < < <[ ] Enter-example-1
User Atika
by
3.8k points

2 Answers

8 votes

Solution:

Simplify the inequality one by one:

  • -10 ≤ 5 + x < -5
  • => -10 - 5 ≤ x
  • => -15 ≤ x
  • => 5 + x < -5
  • => x < -5 - 5
  • => x < -10

This means that...

  • -15 ≤ x < -10

Hoped this helped!

User Martin Streicher
by
4.1k points
12 votes

Required solution :

First solving for -10 < 5 + x

⇒-10 - 5 < x

⇒ -15 < x

Now for 5 + x < -5

⇒ x < -5 - 5

⇒ x < -10

Therefore,

  • -15 < x < -10
User Joaquin Javi
by
4.4k points