Linear Inequalities

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 (>, <, ≥, ≤).

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to a specified number.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'.

Front

How do you represent 'at most' in an inequality?

Back

'At most' is represented by the symbol '≤'.

Front

If a student can spend no more than $50, how would you write this as an inequality?

Back

x ≤ 50, where x is the amount spent.

Front

What is the first step to solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8.

Front

What is the solution to the inequality 3x - 5 ≥ 4?

Back

x ≥ 3.

Front

How do you graph the inequality x < 4?

Back

Draw a number line, place an open circle at 4, and shade to the left.

Front

What does the solution set of an inequality represent?

Back

The solution set represents all the values that satisfy the inequality.