Solve the inequality for x. Show each step of the solution. 16x > 12(2x – 6) – 24
1 answer:
You want to start this problem by handling the parentheses and distributing the 12.
So 16x > 12(2x - 6) - 24 would become...
So 16x > 24x - 72 - 24
Next you would combine like terms...
So 16x > 24x - 96
Then to get rid of the negative you would add 96 to both sides...
So 16x + 96 > 24x
After that you would subtract 16x from both sides...
96 > 8x
Lastly, divide by 8 to get x.
12 > x
So 16x > 12(2x - 6) - 24 would become...
So 16x > 24x - 72 - 24
Next you would combine like terms...
So 16x > 24x - 96
Then to get rid of the negative you would add 96 to both sides...
So 16x + 96 > 24x
After that you would subtract 16x from both sides...
96 > 8x
Lastly, divide by 8 to get x.
12 > x
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<em>Comment on the problem statement</em>
Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.
