What inequality represents the sentence?
The product of a number and 12 is no more than 15.
(1 point)
Responses
12n < 15
12 n < 15
12n > 15
12 n > 15
12n ≥ 15
12 n ≥ 15
12n ≤ 15
The inequality that represents the sentence is:
12n ≤ 15
Solve the inequality. Graph the solution set.
26 + 6b ≥ 2(3b + 4)
(1 point)
Responses
number line
Image with alt text: number line
number line
Image with alt text: number line
number lineA closed point is shown close to 2 between 0 and 2. A line extends from the point past 2, 4, 6, 8 through to the arrow at the right end of the number line.
Image with alt text: number line A closed point is shown close to 2 between 0 and 2. A line extends from the point past 2, 4, 6, 8 through to the arrow at the right end of the number line.
number line
The correct response is:
number line A closed point is shown close to 2 between 0 and 2. A line extends from the point past 2, 4, 6, 8 through to the arrow at the right end of the number line.
Solve the problem by writing an inequality.
A club decides to sell T-shirts for $15 as a fundraiser. It costs $20 plus $9 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $150.
(1 point)
Responses
15x – (9x + 20) ≥ 150; x ≥ 28.33
15 x – (9 x + 20) ≥ 150; x ≥ 28.33
15x – 9x + 20 ≥ 150; x ≥ 20
15 x – 9 x + 20 ≥ 150; x ≥ 20
(8x + 20) – 15x ≥ 150; x ≥ 20
(8 x + 20) – 15 x ≥ 150; x ≥ 20
15x – 9(x + 20) ≥ 150; x ≥ 20
The correct response is:
15x - (9x + 20) ≥ 150; x ≥ 28.33
Is the inequality sometimes, always, or never true?
–2(2x + 9) > –4x + 9
(1 point)
Responses
always
always
sometimes
sometimes
never
The correct response is:
sometimes
Solve the compound inequality. Graph the solution.
–2 ≤ 2x – 4 < 4
(1 point)
Responses
number line
Image with alt text: number line
number line
Image with alt text: number line
number line
Image with alt text: number line
number line
The correct response is:
number line
Image with alt text: number line
To represent the sentence "The product of a number and 12 is no more than 15" as an inequality, we need to understand that "no more than" implies less than or equal to.
Let's break down the sentence: "The product of a number and 12" means that we need to multiply the number by 12. "Is no more than 15" means that the result of this multiplication should be less than or equal to 15.
So the inequality that represents this sentence is:
12n ≤ 15
In this inequality, "n" represents the unknown number that we are referring to, and "≤" represents "less than or equal to."