What is the solution to the given inequality?

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musiclover10045 musiclover10045 · Answer 1 · 2019-09-03T22:30:43+02:00

1/2 - 1/4x ≥ -1/4

Combine 1/4x to get x/4:

1/2 - x/4 ≥ -1/4

Subtract 1/2 from both sides:

-x/4 ≥ -1/4 - 1/2

Simplify:

-x/4 ≥ -3/4

Multiply both sides by 4:

-x ≥ -3/4 * 4

-x ≥ -3

Multiply each side by -1 ( and since you are multiplying by -1, you also need to reverse the inequality sign)

Answer: x ≤ 3

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indritachandra1999 indritachandra1999 · Answer 2 · 2022-06-25T15:32:28+02:00

The solution of the given linear inequality is x ≤ 3.

Expressions that compare two linear expressions using the inequality symbols are known as linear inequalities.

Given linear inequality:

1/2 - (1/4)x ≥ (-1/4)

1/2 + 1/4 ≥ (1/4)x

3/4 ≥ (1/4)x

x ≤ 3

Hence the solution of the linear inequality is x ≤ 3.

Learn more about linear inequality on:

https://brainly.com/question/18881247

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