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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Answer:
Length: 21 cm and Width: 6cm
Step-by-step explanation:
Let be the width and
length of the rectangle. We know:
-------- eq. 1
(Perimeter of the rectangle) ------- eq. 2
Substitute equation 1 in equation 2:
Using the value of y, we find x.