Directions:Write inequalities for the numbers 2 - 4 below. Do not solve them!

Problems:
2.Your quiz grades are 19, 17, 20, and 15. What is the lowest grade you can receive on the next quiz and maintain at least an 18 average?

3.Stacey and Luis volunteer at the local hospital. Stacey worked 4 more hours than Luis, and together they worked more than 28 hours. What is the least number of hours each worked?

4.Mrs. Culpepper has promised her two sons that they may go to a concert if together they save more than $45. The older son agrees to save twice as much as the younger one. How much must each save?

17

To write inequalities for the given problems, we need to analyze the conditions and constraints mentioned in the problem. Here are the inequalities for each problem:

2. Quiz Grades:
Let's assume the lowest grade on the next quiz as "x". We know that the average of the quiz grades should be at least 18. So, the inequality is:
(19 + 17 + 20 + 15 + x) / 5 ≥ 18

3. Volunteer Hours:
Let's assume Luis worked for "x" hours. Since Stacey worked 4 more hours than Luis, her hours would be "x + 4". Together, they worked for more than 28 hours, so the inequality is:
x + (x + 4) > 28

4. Saving Money:
Let's assume the younger son saved "x" dollars. According to the condition, the older son agreed to save twice as much as the younger one, so he would save "2x" dollars. Together, they have to save more than $45, so the inequality is:
x + 2x > 45

Remember, these inequalities represent the conditions mentioned in the problems, but they are not solved. Solving them will give you the specific values that satisfy the inequalities.