Question

3−2(x+4)≤5

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's solve this inequality step by step:

3 - 2(x + 4) ≤ 5

First, distribute the -2 to the terms inside the parentheses:

3 - 2x - 8 ≤ 5

Combine like terms:

-2x - 5 ≤ 5

Next, move -5 to the other side of the inequality by adding 5 to both sides:

-2x ≤ 10

Divide both sides of the inequality by -2. Since we are dividing by a negative number, we need to reverse the inequality sign:

x ≥ -5

So, the solution to the inequality 3 - 2(x + 4) ≤ 5 is x ≥ -5.

Answer 2

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

To solve the inequality 3 - 2(x + 4) ≤ 5, follow these steps:

Step 1: Distribute the -2 to the terms inside the parentheses.
3 - 2x - 8 ≤ 5

Step 2: Combine like terms.
-2x - 5 ≤ 5

Step 3: Add 5 to both sides of the inequality.
-2x - 5 + 5 ≤ 5 + 5
-2x ≤ 10

Step 4: Divide both sides of the inequality by -2. Remember to reverse the inequality sign when dividing by a negative number.
x ≥ 10 / -2
x ≥ -5

Therefore, the solution to the inequality 3 - 2(x + 4) ≤ 5 is x ≥ -5.

Answer 3

[AI-generated answer — Explain Bot]

To solve the inequality 3−2(x+4)≤5, we will follow these steps:

Step 1: Distribute the 2 to terms inside the parentheses:
3 - 2x - 8 ≤ 5

Simplifying the expression further:
-2x - 5 ≤ 5

Step 2: Add 5 to both sides of the inequality to isolate the variable term:
-2x - 5 + 5 ≤ 5 + 5

This simplifies to:
-2x ≤ 10

Step 3: To solve for x, divide both sides of the inequality by -2. Note: When you divide or multiply by a negative number while solving an inequality, the inequality sign must be flipped.
-2x / -2 ≥ 10 / -2

This gives us:
x ≥ -5

So, the solution to the inequality 3−2(x+4)≤5 is x ≥ -5.