Question

What is the solution set for -2x + > 7?

Answer 1

What is the solution set for -2x +5 > 7?

Answer 2

As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write and solve an inequality for the number of sales you need to make.(1 point)

Answer 3

I'm sorry, the inequality is not stated correctly. The symbol ">" indicates a greater than comparison, but there is no other value or variable after it. Could you please provide the full inequality statement?

Answer 4

To find the solution set, we need to isolate the variable "x" on one side of the inequality.

First, let's subtract 5 from both sides of the inequality:

-2x + 5 - 5 > 7 - 5
-2x > 2

Next, divide both sides of the inequality by -2. It is important to note that when we divide by a negative number, the inequality sign flips.

(-2x)/-2 < 2/-2
x < -1

Therefore, the solution set for the inequality -2x + 5 > 7 is x < -1.

Answer 5

Let "x" be the number of sales made in a week.

According to the given information, the total pay is equal to $100 plus $3 per sale. Therefore, the total pay earned in a week can be represented by the equation:

Total Pay = 100 + 3x

We need to find the number of sales needed to make at least $160. This can be expressed as an inequality:

Total Pay ≥ 160

Substituting the equation for the total pay mentioned above, we have:

100 + 3x ≥ 160

To isolate "x" on one side of the inequality, subtract 100 from both sides:

100 + 3x - 100 ≥ 160 - 100
3x ≥ 60

Next, divide both sides of the inequality by 3:

(3x)/3 ≥ 60/3
x ≥ 20

Therefore, the salesperson needs to make at least 20 sales in a week to earn a pay of $160 or more.