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Mathematics 8 Online
OpenStudy (lolipop_drum312):

SOMEBODY EXPLAIN THIS TO ME I HAVE NOT TIME LEFT only a few........ Solve the inequality for x: 20𝑥 > 8(4𝑥 – 5) – 20

OpenStudy (kailey7277):

first you distribute

OpenStudy (alivejeremy):

Answer. x<5

OpenStudy (kailey7277):

\[20x >8(4x-5)-20\] \[20x>32x-40-20\]

OpenStudy (alivejeremy):

Simplify both sides of the inequality then Subtract 32x from both sides. after that Divide both sides by -12.

OpenStudy (kailey7277):

then combine like terms

OpenStudy (kailey7277):

\[20x>32x-60\]

OpenStudy (alivejeremy):

Then you'll get x<5

OpenStudy (alivejeremy):

And thats your answer

OpenStudy (erib):

20x >32x-40-20 20x >32x-60 -32x -32x

OpenStudy (alivejeremy):

You're welcome.

OpenStudy (kailey7277):

then subtract the 32x to isolate the x on one side \[-12x>-60\]

OpenStudy (kailey7277):

divide both sides by -12 to get x alone. when you divide by a negative, the inequality sign will flip \[x<5\]

OpenStudy (erib):

-60/-12 < 5

OpenStudy (lolipop_drum312):

oh thank you guys and sorry i wasn't paying attention i was away

OpenStudy (lolipop_drum312):

but wait how can i put this in a form?

OpenStudy (kailey7277):

\[20x>8(4x-5)-20\] \[20x>32x-40-20\] \[20x>32x-60\] \[-12x>-60\] \[x<5\]

OpenStudy (lolipop_drum312):

oh thank you

OpenStudy (kailey7277):

no problem

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