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Solve -4(r-2/3) + 4 < -8. Show your work

User Sridhar Sg
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Answer:

Starting with the given inequality:

-4(r - 2/3) + 4 < -8

First, simplify the expression inside the parentheses:

-4r + 8/3 + 4 < -8

Combine the constants:

-4r + 20/3 < -8

Subtract 20/3 from both sides:

-4r < -8 - 20/3

-4r < -24/3 - 20/3

-4r < -44/3

Finally, divide both sides by -4, remembering to reverse the direction of the inequality since we are dividing by a negative number:

r > -44/3 ÷ -4

r > 11/3

So the solution to the inequality is r > 11/3, which means that any value of r that is greater than 11/3 will make the inequality true.

User Deepanmurugan
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