Question

algebra 1 5,6 check your understanding
mild

1. tell whether the ordered pair is a solution of the inequality.

+ y < 7; (2,3)

1. graph the inequality:

y ≤ 5

1. graph the inequality:

y ≥ -x - 1

1. describe and correct the error in graphing

the inequality: y < -x + 1
5.write the inequality that represents the
graph.

1. you have at most $25 to spend on in - app purchases for a game. hints cost $5 each, and energy

boosters cost $1 each. write and graph an inequality that represents the numbers of each item you
can buy. identify and interpret two solutions of the inequality.
medium

1. tell whether the ordered pair is a

solution of the inequality.
x + 3y ≥ -2; (-9,1)

1. graph the inequality.

x < 2

1. graph the inequality:

5x - 2y ≤ 6

Explanation:

Let's solve problem 7: "Tell whether the ordered pair is a solution of the inequality \( x + 3y \geq -2 \); \( (-9, 1) \)"

Step 1: Substitute the values

Substitute \( x = -9 \) and \( y = 1 \) into the inequality \( x + 3y \geq -2 \).
\[
-9 + 3(1) \geq -2
\]

Step 2: Simplify the left side

Calculate \( -9 + 3(1) \):
\[
-9 + 3 = -6
\]

Step 3: Check the inequality

Now we check if \( -6 \geq -2 \). Since \( -6 \) is less than \( -2 \) (because \( -6 \) is to the left of \( -2 \) on the number line), the inequality \( -6 \geq -2 \) is false.

Answer:

The ordered pair \( (-9, 1) \) is not a solution of the inequality \( x + 3y \geq -2 \).