Question

Which inequality is equivalent to the given equality of -4(x+7)<3(x-2)

Answer 1

Answer:

x > 22/7

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Notice*

Because there are no options, we must find it algebraically.

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Let's solve your inequality step-by-step.

−4(x+7)<3(x−2)

Step 1: Simplify both sides of the inequality.

−4x−28<3x−6

Step 2: Subtract 3x from both sides.

−4x−28−3x<3x−6−3x

−7x−28<−6

Step 3: Add 28 to both sides.

−7x−28+28<−6+28

−7x<22

Step 4: Divide both sides by -7.

-7x/-7 = 22/-7

x > -22/7

Answer:

x > −22/7