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:
1a) 1141/660
3/5 + 6/11 +7/12
find the LCM of the denominators
the LCM of 5,11,12 is 660
after finding the LCM divide it with the denominator.
after dividing 660 by 5 i get 132. So i need to multiply it with 3. Now, i got 396. Do the same with the rest of the numbers.
u will get smth like this: 396+360+385/660
and the final answer will be1141/660.
b) 71/40
c) 211/28
d) 103/20
When multiplying two numbers, a person can mentally add one of those numbers the other number amount of times.
If the given pairs are supposed to represent points on the graph, you apparently have a graph in which y is inversely related to x. The constant of variation is the product of x and y values: 24. (matches selection B.)