M1. 4-5 Linear Inequalities in One Variable 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

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to', indicating that a value can be either less than or equal to another value.

Front

How do you represent a situation where a total cost must be less than a certain amount using an inequality?

Back

You can represent it as: total cost < maximum amount.

Front

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

Back

Total cost = 125x - 55.

Front

What does the phrase 'no more than' indicate in terms of inequalities?

Back

It indicates that the value should be less than or equal to a certain number, represented by '≤'.

Front

How do you set up an inequality for a budget constraint?

Back

You set up an inequality where the total expenses are less than or equal to the budget.

Front

If Cameron has $42 to spend on bowling games costing $8 each and $6 for shoes, how do you express this as an inequality?

Back

6 + 8x ≤ 42.

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 an inequality in a real-world context?

Back

The solution indicates the range of values that satisfy the condition of the problem.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that can satisfy the inequality.