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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
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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
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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.
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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?
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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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