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 often involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality 7k – 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7. Then divide by 7: k ≥ -1.

Front

What does the solution k ≥ -1 mean?

Back

It means that k can be any number greater than or equal to -1.

Front

Solve the inequality -4x + 1 > 21.

Back

Subtract 1 from both sides: -4x > 20. Then divide by -4 (remember to flip the inequality): x < -5.

Front

What does the solution x < -5 indicate?

Back

It indicates that x can be any number less than -5.

Front

Solve the inequality -4x + 14 ≤ 54.

Back

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

Front

What does the solution x ≥ -10 signify?

Back

It signifies that x can be any number greater than or equal to -10.

Front

How do you solve the equation -5t + 9 = 24?

Back

Subtract 9 from both sides: -5t = 15. Then divide by -5: t = -3.

Front

What is the solution to the inequality u/7 – 1 ≤ 1?

Back

Add 1 to both sides: u/7 ≤ 2. Then multiply by 7: u ≤ 14.

Front

What does the solution u ≤ 14 mean?

Back

It means that u can be any number less than or equal to 14.