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How do you solve #4+ 2( x - 7) < - 18#?

Answer 1

Savannah Anderson

#x < -4#

#2x < -8#

#(2x)/color(blue)2 < -8/color(blue)(2)#− divide both sides by #color(blue)2#.

#x < -4#

"#x# is less than #-4#" is one way to put this.

I hope this is useful.

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Answer 2

Julia Adams

To solve the inequality 4 + 2(x - 7) < -18:

Distribute the 2: 4 + 2x - 14 < -18
Combine like terms: 2x - 10 < -18
Add 10 to both sides: 2x < -8
Divide both sides by 2: x < -4

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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How do you solve #4+ 2( x - 7) &lt; - 18#?

How do you solve #4+ 2( x - 7) < - 18#?