How would you solve a inequality like: 15-13(2x+6)< 15-3(6x-7)
2 answers:
Hello!
You can solve this algebraically
15 - 13(2x + 6) < 15 - 3(6x - 7)
Subtract 15 from both sides
-13(2x + 6) < -3(6x - 7)
Distribute the -13
-26x + -78 < -3(6x - 7)
Distribute the -2
-26x - 78 < -18x + 21
Add 18x to both sides
-8x - 78 < 21
Add 78 to both sides
-8x < 99
Divide both sides by -8
x < -12.375
The answer is -12.375
Hope this helps!
<span>15 - 13(2x + 6) < 15 - 3(6x - 7)
15 - 26x - 78 < 15 - 18x + 21
-26x -63 < -18x + 36
-8x < 99
x > -99/8
or
x > - 12.375
</span>
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