cheyisdoinghw
Answered

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Solve.
3y + 9 <4y + 7 or 7y - 2(y - 4) > - 2y + 43 i know the answer but i’m not really sure how you’re supposed to solve it

Sagot :

abidemiokin

The solution to the system of inequalities is 5 < y < 1

Given the inequality

3y + 9 <4y + 7

Collect the like terms

3y - 4y < 7 - 9

-y < -2

Divide both sides by -2

-2y/-2 < -2/-2

y < 1

Similarly for the expression 7y - 2(y - 4) > - 2y + 43

Expand

7y - 2y  + 8 > - 2y + 43

5y + 8 > -2y + 43

Collect the like terms

5y + 2y > 43 - 8

7y > 35

y > 35/7

y>5

5 < y

Combine both inequality expressions

5 < y < 1

Hence the solution to the system of inequalities is 5 < y < 1

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