2-Step Inequality Practice

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, similar to solving a 2-step equation.

Front

How do you solve the inequality 4x - 12 ≥ 8?

Back

Add 12 to both sides: 4x ≥ 20. Then divide by 4: x ≥ 5.

Front

What does the solution x ≥ 3 mean in terms of a number line?

Back

It means that x can be any number greater than or equal to 3, represented by a closed dot at 3 and a line extending to the right.

Front

If Karen has $25 to spend, what does x ≤ 25 represent?

Back

It means the cost of the gift (x) can be any amount less than or equal to $25.

Front

How do you interpret the inequality 10 < 3x + 19?

Back

It means that 3x + 19 must be greater than 10. To solve, subtract 19 from both sides: 3x > -9, then divide by 3: x > -3.

Front

What is the first step in solving the inequality x + 5 < 12?

Back

Subtract 5 from both sides: x < 7.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

What does the symbol '>' mean?

Back

It means 'greater than'.

Front

What is the solution to the inequality 2x - 4 ≤ 10?

Back

Add 4 to both sides: 2x ≤ 14, then divide by 2: x ≤ 7.

Front

How do you graph the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.