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5/3 (6x + 9) ≤ 2x − 5

step by step please

1 Answer

7 votes

Answer:

27.5 (is greater than) -2.5

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Explanation:

Distribute 5/3 to 6x and 9, (5/3•6x)+(5/3•9)=10x+15.

Set 10x+15 equal to 2x-5

10x+15=2x-5

(get rid of the smaller slope)

-2x -2x

8x+15=-5

+15 +15

8x=10

(divide by 8 to get the value of x)

8x divided by 8=x

10 divided by 8=1.25

x=1.25

Plug the known value of x back into the equations.

10(1.25)+15=27.5

2(1.25)-5=-2.5

27.5 (less than or equal to) -2.5 is incorrect. It would be

27.5 (is greater than) -2.5

User Andrei Veve
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