Question

name
write inequalities
here are some ways to express each inequality symbol in words:

<	less than	under	not as much as
≤	less than or equal to	at most	no more than
>	greater than	over	more than
≥	greater than or equal to	at least	no less than

passengers at least 12 years old pay full price for train tickets.
write an inequality to represent the situation.
step 1 choose a variable. use a to represent \age.\
step 2 choose an inequality symbol. \at least 12 years old\ means \greater than or equal to 12.\
step 3 write the inequality. $a \geq 12$
write two word sentences to represent $y < 9$.
step 1 identify the inequality symbol. < means \less than.\
step 2 write a word sentence that uses the variable and integer. $y$ is less than 9.
step 3 write another word sentence with the same meaning. $y$ is under 9.
write an inequality for the word sentence.

1. the distance $d$ mr. chin drove was no more than 65 miles.

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1. the amount of juice $c$ in the punch is more than 3 cups.

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1. the age $a$ of mias sister is less than 8 years.

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1. the temperature $t$ was at least $30^\circ$f.

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write two word sentences to represent the inequality.

1. $n \geq 23$

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1. $p > 16$

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Explanation:

Step1: Solve Q1: Match "no more than"

The phrase "no more than" corresponds to $\leq$.
$d \leq 65$

Step2: Solve Q2: Match "more than"

The phrase "more than" corresponds to $>$.
$c > 3$

Step3: Solve Q3: Match "less than"

The phrase "less than" corresponds to $<$.
$a < 8$

Step4: Solve Q4: Match "at least"

The phrase "at least" corresponds to $\geq$.
$t \geq 30$

Step5: Solve Q5: Interpret $\geq$

$\geq$ means "greater than or equal to"/"at least".

1. $n$ is at least 23.
2. $n$ is greater than or equal to 23.

Step6: Solve Q6: Interpret $>$

$>$ means "greater than"/"more than".

1. $p$ is more than 16.
2. $p$ is greater than 16.

Answer:

1. $d \leq 65$
2. $c > 3$
3. $a < 8$
4. $t \geq 30$
5. Sentence 1: $n$ is at least 23.

Sentence 2: $n$ is greater than or equal to 23.

1. Sentence 1: $p$ is more than 16.

Sentence 2: $p$ is greater than 16.