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Vlad1618 [11]
2 years ago
7

12. Solve the following inequality.

Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

<u>C. The solution set is {x|x < 6}.</u>

Step-by-step explanation:

<u>Given</u> :

  • 7x + 4 < 46

<u>Subtract 4 from both sides.</u>

  • 7x + 4 - 4 < 46 - 4
  • 7x < 42

<u>Divide 7 from both sides.</u>

  • 7x/7 < 42/7
  • x < 6

<u>C. The solution set is {x|x < 6}.</u>

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Find the solution of this system of equations. Separate the x- and y- values with a comma. x-2y=-24 and x-y=4
defon
X - 2y = -24
x - y = 4

Isolate x in the first equation by adding 2y to both sides.
x = -24 + 2y  

Now plug in this value of x into the second equation.
(-24 + 2y) - y = 4
Solve. Combine all like terms, 2y - y.
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Add 24 to both sides to isolate y.
y = 28

Now plug y back into the first equation to find x.
x - 2(28) = -24
x - 56 = -24
Add 56 to both sides to isolate x.
x = 32

The solution is (32, 28).
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Check the picture below.

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