Question

Which symbol creates a true sentence when x equals 3?

8 • 3 – 4x _____ 7(10 – x)



a. =


b.. ≈


c. <


d.>

Answer 1

The correct answer is C. <

Here's why:

8 x 3 = 24

24 - 12 = 12

8 * 3 - 4x = 12

________________________________

7 (10 - x) . . .

10 - x = 7

7 * 7 = 49

7 (10 - x) = 49

12 < 49

I hope this helps!

Answer 2

8 * 3 - 4x ____ 7(10 - x)

First simplify. Multiply 8 with 3, and distribute 7 to all terms in the parenthesis

24 - 4x _____ 70 - 7x

Set as an equal sign.

-4x + 24 = 70 - 7x

Solve for x. Add 7x to both sides, and subtract 24 from both sides

-4x (+7x) + 24 (-24) = 70 (-24) - 7x (+7x)

-4x + 7x = 70 - 24

3x = 46

Isolate the x. divide 3 to both sides

3x/3 = 46/3

x = 15.33 (rounded)

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Plug in 15.33 for x in the equation:

24 - 4x _____ 70 - 7x

24 - 4(15.33) ______ 70 - 7(15.33)

Simplify

24 - 62.32 __________ 70 - 107.31

Simplify

-38.32 ____ -37.31

To make this "equation" correct, use the right sign.

-38.32 < - 37.31

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c. < should be your answer

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hope this helps