The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
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Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
Learn more about inequalities:
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Answer:
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Step-by-step explanation:
-6x-4(-7x-13)=-58
Multiply the bracket by -4
-6x-4(-7)-4(-13)= -58
-6x+28x+52= -58
22x+52= -58
Move +52 to the other side. Sign changes from +52 to -52.
22x+52-52= -58-52
22x= -110
Divide by 22.
22/22x= -110/22
x= -5
Answer: x= -5
1. -3.8
2. -242/67
3. -11368
Photomath is a good app to help give u answers for math. Hope this helps u
