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?

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2. Let x be the lowest grade on the next quiz.

- 19 + 17 + 20 + 15 + x ≥ 18 * 5

3. Let x be the number of hours Luis worked.
- (x + 4) + x > 28

4. Let x be the amount the younger son saves.
- x + 2x > 45

2. Let x be the lowest grade on the next quiz.

The average is calculated by summing up all the grades and dividing by the total number of quizzes.
Therefore, the inequality would be: (19 + 17 + 20 + 15 + x)/5 ≥ 18

3. Let's assume Luis worked for L hours. Stacey worked 4 more hours, so Stacey worked for L + 4 hours.
Together, they worked more than 28 hours:
L + (L + 4) > 28

4. Let's assume the younger son saved y dollars. According to the problem, the older son saved twice as much.
Therefore, the older son saved 2y dollars.
The sum of their savings must be greater than $45:
y + 2y > 45

To write inequalities for the given problems, we need to identify the key information provided in each scenario.

2. The problem states that you want to maintain at least an 18 average. This implies that the sum of your current quiz grades and the lowest grade on the next quiz should be greater than or equal to 18 times the number of quizzes taken. Let's assume the lowest grade on the next quiz is represented by the variable x. The inequality for this problem would be:
(19 + 17 + 20 + 15 + x) / 5 ≥ 18

3. The problem states that Stacey worked 4 more hours than Luis, and together they worked more than 28 hours. Let's assume the number of hours Luis worked is represented by the variable x. Then Stacey worked x + 4 hours. The inequality for this problem would be:
x + (x + 4) > 28

4. The problem states that the older son agrees to save twice as much as the younger one, and together they must save more than $45. Let's assume the amount saved by the younger son is represented by the variable x. Then the older son saves 2x. The inequality for this problem would be:
x + 2x > 45

Remember, these inequalities represent the conditions required by the problems. To find the actual solutions, you would need to solve these inequalities.