The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel

750≥75 + 125h

What value of h does NOT make the inequality true?

4

3

5

6

6 is the value of h does NOT make the inequality true.

Step-by-step explanation:

Inequalities are an inequality between letters (unknowns) and numbers related by arithmetic operations whose solution set is the set of real numbers that satisfy it. The solution of an inequality is, in general, an interval a union of intervals of real numbers, that is why it can be represented using intervals in the numerical subtraction, which contains infinite real numbers.

You know: 750≥75 + 125h

To solve this type of inequality, you must group the x terms on one side of the inequality and the independent terms on the other. That is, you must put the letters on one side and the numbers on the other side of the inequality. So to bring 75 to the other side of the inequality, you apply the inverse operator.

750-75≥75-75 + 125h

675≥125h

The number 125 is multiplying the variable or unknown h, so this number stops on the other side of the inequality with the inverse operator, division.

675:125≥h

5.4≥h

This indicates that 5.4 is greater than or equal to h. Another way of saying it is that h must be less than or equal to 5.4 for the inequality to be satisfied.

Sp, 6 is the value of h does NOT make the inequality true.