The solution of the given inequality 12x - 3x + 11 > 4x - (17 - 9x) is x < 7
The given inequality is,
12x - 3x +11 > 4x - (17-9x)
Simplify the left-hand side of the inequality by combining like terms.
We can simplify 12x - 3x to get 9x, so our inequality becomes:
9x + 11 > 4x - (17 - 9x)
Next, we can simplify the expression inside the parentheses on the right-hand side of the inequality by distributing the negative sign:
9x + 11 > 4x - 17 + 9x
We can further simplify this by combining like terms on the right-hand side of the inequality:
9x + 11 > 13x - 17
Now, we can isolate the variable on one side of the inequality by subtracting 9x from both sides:
11 > 4x - 4x - 17
Add 17 to both sides to isolate the variable:
28 > 4x
Finally, we can solve for x by dividing both sides by 4:
x < 7
Therefore, the solution to the inequality 12x - 3x + 11 > 4x - (17 - 9x) is x < 7.
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-3y+4=-11
B. 8 left parenthesis x plus 1.5 y right parenthesis; Mike’s hourly wage is 1.5 times Harry’s.
C. 12 left parenthesis 8 x plus y right parenthesis ; Harry’s hourly wage is 8 times Mike’s.
D. 8 left parenthesis x plus 4 y right parenthesis ; Mike’s hourly wage is 4 times Harry’s.