Question

Which of the numbers 6, 7, and 8 is a solution of 3x≤18 ?

[?]
what is the answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

The solution of the inequality 3x≤18 can be found by dividing both sides by 3 to isolate x:

3x/3 ≤ 18/3
x ≤ 6

Therefore, the number 6 is a solution of the inequality 3x≤18. The numbers 7 and 8 are not solutions as they are greater than 6.

Answer 2

Question

Which of the numbers 11, 12, and 13 is a solution of 24−x<12 ?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find which of the numbers 11, 12, and 13 is a solution of the inequality 24−x < 12, substitute each of the numbers into the inequality and see which ones satisfy the inequality.

For 11:
24 - 11 < 12
13 < 12
This statement is false, so 11 is not a solution.

For 12:
24 - 12 < 12
12 < 12
This statement is false, so 12 is not a solution.

For 13:
24 - 13 < 12
11 < 12
This statement is true, so 13 is a solution.

Therefore, the number 13 is the solution of the inequality 24−x < 12.

Answer 4

Which of the first 10 natural numbers is NOT a solution of 5x−1≠9 ?

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the natural number that is not a solution of the inequality \(5x - 1 \neq 9\), we can determine which of the first 10 natural numbers makes the inequality true.

Let's substitute each natural number from 1 to 10 into the inequality:

For x = 1:
\(5(1) - 1 \neq 9\)
\(5 - 1 \neq 9\)
\(4 \neq 9\), which is true.

For x = 2:
\(5(2) - 1 \neq 9\)
\(10 - 1 \neq 9\)
\(9 \neq 9\), which is false.

For x = 3:
\(5(3) - 1 \neq 9\)
\(15 - 1 \neq 9\)
\(14 \neq 9\), which is true.

For x = 4, 5, 6, 7, 8, 9, and 10:
Similarly solve for each one and determine if they are true or false.

After evaluating all the numbers, we see that x = 2 is the natural number that is NOT a solution of the inequality \(5x - 1 \neq 9\).

Answer 6

Using mental math, solve the inequality 7+a>5+6 . In the solution set, the variable a must be greater than what number?

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 7 + a > 5 + 6 using mental math, we first simplify each side of the inequality:

7 + a > 5 + 6
7 + a > 11

Now, to isolate the variable a, we subtract 7 from both sides:

a > 11 - 7
a > 4

Therefore, in the solution set, the variable a must be greater than 4.

Answer 8

Using mental math, solve the inequality 4g≥6×10 . In the solution set, the variable g must be greater than or equal to what number?(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 4g ≥ 6 * 10 using mental math, we first simplify the right side:

6 * 10 = 60

Now the inequality becomes:

4g ≥ 60

To isolate the variable g, we divide by 4 on both sides:

g ≥ 60 / 4
g ≥ 15

Therefore, in the solution set, the variable g must be greater than or equal to 15.