Question

1. solve for $x$ in the inequality below and then choose the number line that shows the correct answer.

$9x \leq 27$
① number line with closed dot at 3, arrows pointing both directions
② number line with closed dot at 3, arrow pointing right
③ number line with open dot at 3, arrows pointing both directions
④ number line with open dot at 3, arrow pointing right
6.af.20 dok 2

1. mr. allen sketched the shape of his yard on the coordinate plane below and named the corners $a$, $b$, $c$, and $d$. each square on the coordinate plane represents 25 ft by 25 ft. what is the distance from point $c$ to point $d$?

① 25 ft
② 100 ft
③ 125 ft
④ 150 ft

Explanation:

Question 11

Step1: Isolate x by dividing both sides by 9

$\frac{9x}{9} \leq \frac{27}{9}$

Step2: Simplify to solve for x

$x \leq 3$

Step3: Match to number line

A closed dot at 3, arrow left.

Step1: Identify coordinates of C and D

Point $C$: $(4, 3)$; Point $D$: $(-1, 3)$

Step2: Calculate grid units between points

$|4 - (-1)| = 5$ units

Step3: Convert to actual distance

$5 \times 25 = 125$ ft

Answer:

a. <the number line with closed dot at 3 and leftward arrow>

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Question 12