Which of the following is a solution of the compound inequality? 3x + 8 2 - x x 5 x 5 All real numbers No solution is it the first one?

Question

Which of the following is a solution of the compound inequality? 3x + 8 < 2 or x + 12 > 2 - x x < -2 or x > 5 x < -6 and x > 5 All real numbers No solution is it the first one?

mathstudent55 · Answer

Solve each side. Start with the left side:
3x + 8 < 2
What's the next step?

anonymous · Answer

subtract 8 from each side

mathstudent55 · Answer

I thought EmmaH asked the question.

anonymous · Answer

i got x>-2 and x>-10-x so i figures it was the first one...

mathstudent55 · Answer

Do the second part again.
x + 12 > 2 - x

mathstudent55 · Answer

Add x to both sides
2x + 12 > 2
Subtract 12 from both sides
2x > -10
x > -5

anonymous · Answer

ok so it is the first one:)

mathstudent55 · Answer

The solution to both sides is x < -2 or x > -5
Try plotting that on a number line.

mathstudent55 · Answer

The first one has x > 5. We get x > -5, so it's not the first one.

anonymous · Answer

allreal numbers?

anonymous · Answer

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