Question

1 multiple choice 10 points
an inequality is shown below.
$4x < 22$
which value for $x$ makes the inequality true?
$\bigcirc$ 5.5
$\bigcirc$ 6
$\bigcirc$ 2.7
$\bigcirc$ 10

2 multiple choice 10 points
an inequality is shown below.
$8w < 36$
which list of values for $w$ will make the inequality true?
$\bigcirc$ 2, 4, 4.5
$\bigcirc$ 2.5, 3, 4.1
$\bigcirc$ 4.5, 6, 7
$\bigcirc$ 5, 8, 9.5

3 true or false 10 points
deanna and her friends decide to go to the town carnival. to be able to ride the roller coaster at the carnival, a person has to have a height greater than 45 inches.
decide whether the following statement is true or false:
since deanna is 46 inches tall, she can ride the roller coaster.
$\bigcirc$ true
$\bigcirc$ false

Explanation:

Step1: Solve inequality for $x$

$4x < 22 \implies x < \frac{22}{4} = 5.5$

Step2: Check valid $x$ value

Only 2.7 is less than 5.5.

Step3: Solve inequality for $w$

$8w < 36 \implies w < \frac{36}{8} = 4.5$

Step4: Check valid $w$ list

All values 2, 4, 4.5? No, $4.5$ is not less than 4.5. Wait, 2, 3, 4.1 are all less than 4.5.

Step5: Evaluate height statement

46 > 45, so statement is true.

Answer:

1. 2.7
2. 2, 3, 4.1
3. True