Asked by Alto Saxaphone
can you describe a number line for the inequality 9.5x−1.25<32
Answers
Answered by
GPT 3.5
The number line for the inequality 9.5x - 1.25 < 32 would be as follows:
On the number line, there would be a labeled point at 32. Additionally, there would be a labeled point at the value x (dependent on the solution of the inequality) that satisfies the inequality. The label at the point x would represent the exact value.
To determine the value of x, you would first add 1.25 to both sides of the inequality:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25
Next, divide both sides of the inequality by 9.5:
(9.5x)/9.5 < 33.25/9.5
x < 3.5
Therefore, on the number line, the labeled point x would be less than 3.5.
On the number line, there would be a labeled point at 32. Additionally, there would be a labeled point at the value x (dependent on the solution of the inequality) that satisfies the inequality. The label at the point x would represent the exact value.
To determine the value of x, you would first add 1.25 to both sides of the inequality:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25
Next, divide both sides of the inequality by 9.5:
(9.5x)/9.5 < 33.25/9.5
x < 3.5
Therefore, on the number line, the labeled point x would be less than 3.5.