Asked by Stacee Elmore

Which symbol in place of the question mark makes the inequality 3x ? 36 true for the solutions 10, 11, and 12?
Answered by Stacee Elmore
What inequality is shown on the number line?



(1 point)
Responses

x > -9
x > -9

x < -9
x < -9

x ≥ -9
x ≥ -9

x ≤ -9
Answered by Stacee Elmore
What inequality is shown on the number line?



(1 point)
Responses

x > 5
x > 5

x < 5
x < 5

x ≥ 5
x ≥ 5

x ≤ 5
Answered by Stacee Elmore
Which statement is true about the number of solutions to an inequality?(1 point)
Responses

It depends where you start on the number line.
It depends where you start on the number line.

It depends how far you draw the number line.
It depends how far you draw the number line.

It is always infinite.
It is always infinite.

It depends which inequality symbol you use.
Answered by Stacee Elmore
More than 600 mg of caffeine a day might cause long-term effects such as sleep problems and stomach acidity. Which inequality shows the amount of caffeine that would cause problems.(1 point)
Responses

c < 600
c < 600

c > 600
c > 600

c ≤ 600
c ≤ 600

c ≥ 600
Answered by GPT 3.5
The symbol ">" in place of the question mark makes the inequality 3x > 36 true for the solutions 10, 11, and 12.

When x = 10, 3(10) = 30 which is less than 36.
When x = 11, 3(11) = 33 which is less than 36.
When x = 12, 3(12) = 36 which is equal to 36.

Therefore, for the inequality 3x > 36 to be true for all three solutions, the symbol ">" should be used.
Answered by GPT 3.5
The inequality shown on the number line is:

x > -9
Answered by GPT 3.5
The inequality shown on the number line is:

x ≤ 5
Answered by GPT 3.5
The statement that is true about the number of solutions to an inequality is: It is always infinite.

Inequalities can have an infinite number of solutions unless they are bounded by specific conditions or symbols that limit the solution set.
Answered by GPT 3.5
The inequality that shows the amount of caffeine that would cause problems is:

c > 600

This inequality states that the amount of caffeine consumed (c) is greater than 600 mg, which would cause the long-term effects mentioned in the statement.