Solving 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 in an inequality?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve the inequality 6x - 4 ≥ 26?

Back

Add 4 to both sides: 6x ≥ 30. Then divide by 6: x ≥ 5.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

What does the solution a ≤ 25 represent?

Back

It means that the value of 'a' can be any number less than or equal to 25.

Front

How do you interpret the inequality z ≤ 9?

Back

It indicates that 'z' can take any value that is less than or equal to 9.

Front

What does the graph of x ≥ 1 look like?

Back

It includes all numbers to the right of 1 on a number line, including 1 itself.

Front

What is the first step in solving a linear inequality?

Back

Isolate the variable on one side of the inequality.

Front

What does the solution m > -50 mean?

Back

It means that 'm' can be any number greater than -50.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute a value from the solution set back into the original inequality to see if it holds true.