The answer is: " x < -3 " .
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Explanation:
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Given:
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" 9(2x + 1) < 9x – 18 " ;
First , factor out a "9" in the expression on the right-hand side of the inequality:
9x – 18 = 9(x – 2) ;
and rewrite the inequality:
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9(2x + 1) < 9(x – 2) ;
Now, divide EACH SIDE of the inequality by "9" ;
[9(2x + 1)] / 9 < [9(x – 2)] / 9 ;
to get:
2x + 1 < x – 2 ;
Now, subtract "x" and add "2" to each side of the inequality:
2x + 1 – x + 2 < x – 2 – x + 2 ;
to get:
x + 3 < 0 ;
Subtract "3" from EACH SIDE ;
x + 3 – 3 < 0 – 3 ;
to get:
" x < -3 " .
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Answer:
1?
Step-by-step explanation:
Revenue = price * number of backpacks
number of backpacks = -2p + 50
p = 9 ; -2(9) + 50 = -18 + 50 = 32
revenue = 9 * 32 = 288
p = 12 ; -2(12) + 50 = -24 + 50 = 26
revenue = 12 * 26 = 312
<u>p = 12.50 ; -2(12.50) + 50 = -25 + 50 = 25</u>
<u>revenue = 12.50 * 25 = 312.50</u> GIVES THE MAXIMUM REVENUE
p = 15 ; -2(15) + 50 = -30 + 50 = 20
revenue = 15 * 20 = 300
When grades are expressed as a quantity of 1, such as two feet per second or 5 miles per hour, they are called unit rates.
