Two Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality: 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Front

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

Back

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

Front

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

Back

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

Front

Solve the inequality: -8k - 4 ≤ -60.

Back

Add 4 to both sides: -8k ≤ -56. Then divide by -8 (remember to flip the inequality): k ≥ 7.

Front

Solve the inequality: -7x + 1 ≤ 22.

Back

Subtract 1 from both sides: -7x ≤ 21. Then divide by -7 (flip the inequality): x ≥ -3.

Front

What is the solution set for the inequality X ≥ 4?

Back

The solution set is all real numbers greater than or equal to 4.

Front

What is the solution set for the inequality X < 4?

Back

The solution set is all real numbers less than 4.

Front

How do you graph the inequality X ≤ 4 on a number line?

Back

Draw a closed circle on 4 and shade to the left to indicate all numbers less than or equal to 4.

Front

What is the first step in solving a two-step inequality?

Back

The first step is usually to isolate the term with the variable by adding or subtracting a constant.