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slamgirl [31]
3 years ago
6

11. Solve for x 3x + 3 − x + (−7) > 6 A. x > 5 B. x > (−5) C. x < 5 D. x > 2.5

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

3x + 3 - x -7 is greater than 6.

2x - 4 is greater than 6.

2x is greater than 10.

x is greater than 5.

Hence, the answer is (A).

Aneli [31]3 years ago
7 0

Answer:

A. x > 5

Step-by-step explanation:

We have been given the inequality;

3x + 3 − x + (−7) > 6

The first step is to collect the like terms;

3x-x+3-7>6

2x-4>6

2x>6+4

2x>10

x>5

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Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
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14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
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