Question

Solve the inequality.

5+7x≥11x+3−4x
(1 point)
Responses

x is less than or equal to negative 2

no solution

All real numbers

x≤2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 5+7x≥11x+3−4x, we first combine like terms on the right side:

5 + 7x ≥ 11x + 3 - 4x
5 + 7x ≥ 7x + 3

Next, we subtract 7x from both sides to isolate the variable:

5 ≥ 3

This inequality is always true, so the solution is x ≤ 2. Therefore, the correct answer is x ≤ 2.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the inequality 5 + 7x ≥ 11x + 3 - 4x, we will first simplify both sides of the inequality:

5 + 7x ≥ 11x + 3 - 4x

Combine like terms on each side of the inequality:

5 + 7x ≥ 7x + 3

Next, subtract 7x from both sides of the inequality to isolate the variable:

5 + 7x - 7x ≥ 7x + 3 - 7x

Simplifying further:

5 ≥ 3

Since 5 is greater than or equal to 3, this inequality is true for all values of x. Therefore, the solution to the inequality is x ≤ 2.

So, the correct solution is x ≤ 2.

Answer 3

[AI-generated answer — Explain Bot]

To solve the inequality 5 + 7x ≥ 11x + 3 - 4x, we first simplify both sides of the inequality:

Starting with the left side, we combine like terms: 5 + 7x.

Next, on the right side, we combine like terms: 11x - 4x + 3 = 7x + 3.

Our inequality now becomes: 5 + 7x ≥ 7x + 3.

To isolate the variable x, we want to get all the x terms on one side of the inequality:

Starting with the right side, we subtract 7x from both sides: 5 + 7x - 7x ≥ 7x - 7x + 3.

This simplifies to: 5 ≥ 3.

Since 5 is greater than or equal to 3, this statement is true, regardless of the value of x. Therefore, the inequality is true for all real numbers.

So, the solution to the inequality is x ≤ 2.