Question

Describe a situation and write an inequality to represent the situation. Give a number that is a solution and another number that is not a solution of the inequality.

a) Situation: Saving money for a vacation. Inequality: $x \geq 500, where x is the amount saved. Solution: x = 700. Not a solution: x = 400.
b) Situation: Baking cookies for a bake sale. Inequality: $x \leq 50, where x is the number of cookies baked. Solution: x = 30. Not a solution: x = 60.
c) Situation: Weightlifting in the gym. Inequality: x < 150 kg, where x is the weight lifted. Solution: x = 120 kg. Not a solution: x = 160 kg.
d) Situation: Studying for a test. Inequality: x > 5 hours, where x is the time spent studying. Solution: x = 6 hours. Not a solution: x = 4 hours.

Answer 1

The inequality $x \geq 500 represents the situation of saving money for a vacation, where x is the amount saved. A solution to the inequality is x = 700, while a number that is not a solution is x = 400.

Step-by-step explanation:

In the situation of saving money for a vacation, the inequality $x \geq 500 can be written to represent the situation. This means that the amount saved, represented by x, must be greater than or equal to $500.

A solution to this inequality is x = 700, meaning that the amount saved is $700, which is greater than or equal to $500. A number that is not a solution to the inequality is x = 400, as this amount is less than $500.

In summary, the inequality $x \geq 500 represents the situation of saving money for a vacation, with x representing the amount saved. A solution to the inequality is x = 700, while a number that is not a solution is x = 400.