Question

Determine which integer will make the inequality 4x + 6 < 2x + 12 false.

Answer 1

Any number higher than 3

Ex. 4, 5, 6, 7, 8, 9, 10, etc

Explanation:

4x + 6 < 2x + 12

-2x -2x

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2x + 6 < 12

-6 -6

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2x < 6

÷2 ÷2

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x < 3

Since x is less than 3, any number higher than 3 will make the inequality false. For Ex. 4

4(4) + 6 < 2(4) + 12

16 + 6 < 8 + 12

22 < 20 (false)

I hope this helps!

Answer 2

x>=3 make the inequality false

Explanation:

4x-2x<12-6

2x<6

x<3