Question

9 + 12 - 2(g- 22) > 0

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this inequality, we first distribute the -2 to the terms inside the parenthesis:

9 + 12 - 2g + 44 > 0

Combine like terms:

-2g + 65 > 0

Next, isolate "g" by subtracting 65 from both sides:

-2g > -65

Divide both sides by -2, and remember to reverse the inequality sign when dividing by a negative number:

g < 65/2 or g < 32.5

Therefore, the solution to the inequality is g is less than 32.5.

Answer 2

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

To solve the inequality 9 + 12 - 2(g - 22) > 0, follow these steps:

Step 1: Simplify the expression inside the parentheses.
g - 22

Step 2: Distribute the -2 to the terms inside the parentheses.
-2(g) - 2(-22)
-2g + 44

Step 3: Substitute the simplified expression into the original inequality.
9 + 12 - (-2g + 44) > 0

Step 4: Simplify the expression by removing the double negative.
9 + 12 + 2g - 44 > 0

Step 5: Combine like terms.
2g - 23 > 0

Step 6: Isolate the variable.
2g > 23

Step 7: Divide both sides of the inequality by 2 to solve for g.
g > 23/2

So, the solution to the inequality is g > 23/2.

Answer 3

[AI-generated answer — Explain Bot]

To solve the inequality 9 + 12 - 2(g - 22) > 0, we can follow these steps:

Step 1: Simplify the expression inside the parentheses.
g - 22

Step 2: Distribute 2 to the terms inside the parentheses.
2(g - 22) = 2g - 44

Step 3: Combine like terms in the expression.
9 + 12 - 2g + 44 > 0

Step 4: Combine the constants.
65 - 2g > 0

Step 5: Isolate the variable term by subtracting 65 from both sides.
-2g > -65

Step 6: Divide both sides of the inequality by -2. Since we divide by a negative number, the inequality sign flips.
g < 65/2

Therefore, the solution to the inequality 9 + 12 - 2(g - 22) > 0 is g < 32.5.