Linear Inequalities- Word Problems

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥).

Front

How do you represent a word problem as a linear inequality?

Back

Identify the variables, determine the constraints, and express the relationship using an inequality.

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to', indicating that the value can be either less than or exactly equal to the number.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

Front

In the context of budgeting, how would you set up an inequality?

Back

Let the total expenses be less than or equal to the budget.

Front

If a DJ charges $125 per hour and an assistant costs $55, how would you express the total cost for x hours?

Back

Total cost = 125x + 55.

Front

What is the first step in solving a linear inequality?

Back

Isolate the variable on one side of the inequality.

Front

How do you interpret the solution of a linear inequality?

Back

The solution represents all possible values of the variable that satisfy the inequality.

Front

What is the significance of the solution set in a linear inequality?

Back

It shows all the values that make the inequality true.

Front

How can you check if a value satisfies a linear inequality?

Back

Substitute the value into the inequality and see if the statement holds true.