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How do you solve #-4 (-4+x)>56#?

Answer 1

Genesis Allen

#x < -10#

Distribute the #-4#. So you get

#16 -4x > 56#

Subtract #16# from both sides so you get

#-4x > 40#

Divide by #-4# on both sides and flip the #># sign because you are dividing by a negative. You will get

#x < -10#

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Answer 2

Ethan Adkins

To solve the inequality -4(-4 + x) > 56, you first distribute the -4:

-4 * -4 = 16 -4 * x = -4x

This gives you: 16 - 4x > 56.

Next, subtract 16 from both sides:

16 - 16 - 4x > 56 - 16 -4x > 40.

Then, divide both sides by -4, remembering to flip the inequality sign when dividing by a negative number:

-4x / -4 < 40 / -4 x < -10.

So, the solution to the inequality is x < -10.

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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.

How do you solve #-4 (-4+x)&gt;56#?

How do you solve #-4 (-4+x)>56#?