Determine which integer will make the inequality 4x + 6 < 2x + 12 false. S:{1} S:{-1} S:{4} S:{-4}

Question

asked Oct 21, 2024 210k views

1 Answer

Miquella · Answer 1 · 2024-10-25T19:03:58+0000

Answer:

S:{4}

Explanation:

The inequality is
4x + 6 < 2x + 12

Subtract 2x from both sides:
4x - 2x + 6 < 2x - 2x + 12
2x + 6 < 12

Subtract 6 from both sides:
2x + 6 - 6 < 12 - 6
2x < 6

Divide both sides by 2
x < 3

So any value of x such that x ≥ 3 will make this statement false

In the answer choices, the only value that satisfies this conditionis the value 4