The inequality that represents the sentence is:
12n ≤ 15
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
9 answers
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
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.
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
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
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
–2(2x + 9) > –4x + 9
(1 point)
Responses
always
always
sometimes
sometimes
never
The correct response is:
sometimes
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
–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
number line
Image with alt text: number line