Solving 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 -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

What does the solution x ≥ -10 mean in a real-world context?

Back

It means that the value of x can be any number greater than or equal to -10.

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14. Then divide by 7: b < 2.

Front

What does the solution b < 2 indicate?

Back

It indicates that b can be any number less than 2.

Front

How do you solve the inequality 2x + 6 > 12?

Back

Subtract 6 from both sides: 2x > 6. Then divide by 2: x > 3.

Front

What does the solution x > 3 signify?

Back

It signifies that x can be any number greater than 3.

Front

How do you express 'twice a number x plus 8 is greater than 12' as an inequality?

Back

The expression is 2x + 8 > 12.

Front

What is the first step to solve the inequality 6 + 2h > 30?

Back

Subtract 6 from both sides: 2h > 24.

Front

What is the next step after 2h > 24?

Back

Divide by 2: h > 12.