Question

Previous3Next →Equations and Inequalities: Mastery Test3Select the correct answer.Which inequality is equivalent to the given inequality?-4(3 + 7) < 3(- 2)OA. -71 <22OB. -7 > 22Ос. -7 > - 34OD. -7 -34ResetNext

Answer 1

We have the following inequality given:

$-4(x+7)<3(x-2)$

For this case we can distribute the -4 and 3 and we got:

$-4x\text{ }-28\text{ < 3x}-6$

Now we can subtract 3x from both sides of the inequality and we got:

$-4x-3x-28<3x-3x-6$$-7x-28<-6$

Now we can add 28 in both sides of the inequality and we got:

$-7x-28+28<-6+28$$-7x<22$