How do you solve and graph - 23 ≥ q - 30 ?

Step 1First, add 30 to each side of the inequality to solve for q while keeping the inequality balanced: - 23 + 30 ≥ q - 30 + 30 7 ≥ q - 0 7 ≥ q To state the solution in terms of q we can reverse or "flip" the entire inequality: q ≤ 7 To graph this we will draw a vertical line at 7 on the horizontal axis.The line will be a solid line because the inequality operator contains an "or equal to" clause.

Question: "How do you solve and graph - 23..."

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

Mara Cook

Answered question

2022-06-21

How do you solve and graph

- 23 \geq q - 30

Answer & Explanation

Bruno Hughes

Beginner2022-06-22Added 24 answers

Step 1
First, add

30

to each side of the inequality to solve for q while keeping the inequality balanced:

- 23 + 30 \geq q - 30 + 30

7 \geq q - 0

7 \geq q

To state the solution in terms of q we can reverse or "flip" the entire inequality:

q \leq 7

To graph this we will draw a vertical line at 7 on the horizontal axis.
The line will be a solid line because the inequality operator contains an "or equal to" clause.

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