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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

Respuesta :

We have the following inequality given:

[tex]-4(x+7)<3(x-2)[/tex]

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

[tex]-4x\text{ }-28\text{ < 3x}-6[/tex]

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

[tex]-4x-3x-28<3x-3x-6[/tex][tex]-7x-28<-6[/tex]

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

[tex]-7x-28+28<-6+28[/tex][tex]-7x<22[/tex]

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