Marquis wants to work at least `20` hours this week to earn enough money to go to a concert.

Question

Which inequality represents `x`, the number of hours Marquis wants to work?

Answer 1

To represent the situation where Marquis wants to work at least 20 hours this week, we can use the inequality:

\[ x \geq 20 \]

Here, \( x \) represents the number of hours Marquis wants to work, and the inequality states that \( x \) must be greater than or equal to 20.

Answer 2

What is "geq"

Answer 3

"geq" is an abbreviation for "greater than or equal to." In mathematical notation, it is represented by the symbol \( \geq \). So, when we say \( x \geq 20 \), it means that \( x \) is greater than or equal to 20.

Answer 4

So the answer is "x (< underlined) = 20"?

Answer 5

It seems there might be some confusion with the notation. The symbol you are looking for to represent "at least" is not "<" (which means "less than"), but rather "≥" (which means "greater than or equal to").

The correct inequality to represent that Marquis wants to work at least 20 hours is:

\[ x \geq 20 \]

This means that \( x \) (the number of hours Marquis wants to work) can be 20 or more. If you want to depict "at least 20 hours," you should use \( \geq \), not "<".

So, to clarify:

• "x (underlined) = 20" is not correct.
• The correct representation is \( x \geq 20 \).

Answer 6

20 ≥ x?

Answer 7

Yes, \( 20 \geq x \) is another way to express the same requirement, meaning "20 is greater than or equal to \( x \)."

This means that \( x \) (the number of hours Marquis wants to work) must be less than or equal to 20. However, this does not convey the idea of working "at least" 20 hours; it implies he can work up to 20 hours but not more.

To accurately express that Marquis wants to work at least 20 hours, the correct inequality is:

\[ x \geq 20 \]

Both \( x \geq 20 \) and \( 20 \geq x \) convey the same numerical information, but \( x \geq 20 \) is the more common way to state that Marquis wants to work a minimum of 20 hours.

Answer 8

Demetrius can spend as much as `\$50` on shirts.
Shirts, `s`, cost `\$16` each at a nearby store.
Which inequality represents this situation?

Answer 9

To represent the situation where Demetrius can spend as much as $50 on shirts that cost $16 each, we can set up the following inequality:

\[ 16s \leq 50 \]

In this inequality:

• \( s \) represents the number of shirts Demetrius can buy.
• \( 16s \) represents the total cost of purchasing \( s \) shirts at $16 each.
• The inequality \( \leq 50 \) indicates that the total cost must be less than or equal to $50.

So, the correct inequality that represents this situation is:

\[ 16s \leq 50 \]

Answer 10

50 ≥ 16?

Answer 11

The inequality \( 50 \geq 16s \) can also be written as \( 16s \leq 50 \), which is mathematically equivalent.

So, both \( 50 \geq 16s \) and \( 16s \leq 50 \) convey the same meaning: that the total cost of the shirts (which is \( 16s \)) cannot exceed $50.

To summarize:

• \( 16s \leq 50 \) states that the total cost is less than or equal to $50.
• \( 50 \geq 16s \) is simply a rearrangement of the same inequality.

Both forms are correct and represent the same situation. If there’s a preference or requirement to write it in the form of \( 50 \geq 16s \), that is perfectly fine.