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What solution value does not satisfy the compound inequality X - 7 < 17 or -6x >36?

A) x = -1
B) x=0
C) x= - 10
D) x=25

1 Answer

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Final answer:

The solution value that does not satisfy the compound inequality X - 7 < 17 or -6x > 36 is x = 25, as it does not satisfy either part of the inequality.

Step-by-step explanation:

To determine which solution value does not satisfy the compound inequality X - 7 < 17 or -6x > 36, we first solve each inequality separately.

For the first inequality:

X - 7 < 17

Add 7 to both sides:

X < 17 + 7

X < 24

So X can be any value less than 24 to satisfy the first inequality.

For the second inequality:

-6x > 36

Divide both sides by -6, remembering to reverse the inequality sign:

x < -6

So x can be any value less than -6 to satisfy the second inequality.

The compound inequality is satisfied if either of the individual inequalities is satisfied. So, any value of x that is less than 24 or less than -6 would satisfy the compound inequality. We now test each given option:

  • A) x = -1: Satisfies X - 7 < 17
  • B) x = 0: Satisfies X - 7 < 17
  • C) x = -10: Does not satisfy X - 7 < 17, but it does satisfy -6x > 36
  • D) x = 25: Does not satisfy X - 7 < 17 and does not satisfy -6x > 36

Therefore, the value of x that does not satisfy either part of the compound inequality is x = 25.

User Kiang Teng
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