4.1.3 – Linear Inequality Word Problems

• Using inequalities, we can convert information from word problems to types of inequalities

• Key words: less than, greater than, smaller, bigger, between, highest, lowest, range

• When we write the inequalities, important to remember that your variable name should be representative of the variable talked about in the problem

• Prevents confusion for later on

• Example. In the state of Florida, the lowest elevation is sea level (0 ft), while the highest point is Britton Hill, at 345 feet. Write an inequality describing the range of elevations for Florida.

• Example. The total cost of a trip to a particular concert is C = 40 + 7.50x, where x is the number of additional things you decide to purchase or participate in. If you can only spend $77.50, write and solve an inequality for the total number of things you may purchase.

• Example. The amount of time, t, in minutes, that you can use a car wash is given by 0.5t + 2 ≤ A, where A is the amount of money you have to spend. You have $6.50 to spend. At most, how many minutes can you spend in the car wash?

• Assignment• Pg. 176• 38, 39, 44, 46, 47