Question

Solve for x: 4 − (x + 2) < −3(x + 4)

x < −7
x > −7
x < −9
x > −9

Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.

638.54 + 159.50 − x ≥ 500; x ≥ $298.04
638.54 + 159.50 − x ≤ 500; x ≤ $298.04
638.54 − 159.50 + x ≥ 500; x ≥ $20.96
638.54 − 159.50 + x ≤ 500; x ≤ $20.96


I will give a medal for someone to help me understand

Answer 1

I'll help you with the first one for now

Answer 2

I'll help with the second one. Ok, he starts off with $638.54, then you have to subtract the amount that he is taking out with the check of $159.50.
So far we have $638.54 - $159.50

Answer 3

If we simplify that we get, $479.04

Answer 4

now $479.04 + a number has to be equal to or greater than $500.00

Answer 5

if we solve for x we get, x has to be equal to or greater than $20.96. Which is equal to this equation you gave: 638.54 − 159.50 + x ≥ 500; x ≥ $20.96

Answer 6

now its all up to you @GabeBae

Answer 7

Thank you so much!! @katemillfloss

Answer 8

no problemo :D

Answer 9

Oh.. damn it all my work is gone

Answer 10

I need to type it up again give me a minute

Answer 11

Take you time. Thank you for helping me!

Answer 12

\[4 - ( x + 2) < -3(x+4)\]
Use the distributive property on both sides
\[4-x-2 < -3x-12\]
Simplify/Combine like terms on the left side
\[2 - x < -3x-12\]
Add 12 to both sides
\[14 - x < -3x \]
Add x to both sides to cancel out the -x on the left
\[14 < -2x\]
Divide both sides by -2 and flip the sign of the inequality
\[-7 > x\]
Correct me if i'm wrong
I'm in snooze mode right now