Solving 2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (remember to flip the inequality): a > -3.

Tags

CCSS.6.EE.B.8

Front

What does the solution k ≤ -5 represent in a number line?

Back

It represents all numbers less than or equal to -5, including -5 itself.

Tags

CCSS.6.EE.B.8

Front

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

Back

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

Tags

CCSS.6.EE.B.8

Front

What is the first step to solve the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6.

Tags

CCSS.7.EE.B.4B

Front

What does the solution t ≤ -1 mean?

Back

It means that t can be any number less than or equal to -1.

Tags

CCSS.6.EE.B.8

Front

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

Back

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

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -3y + 2 > 11?

Back

Subtract 2 from both sides: -3y > 9. Then divide by -3 (flip the inequality): y < -3.

Tags

CCSS.6.EE.B.8

Front

What is the importance of flipping the inequality sign when dividing by a negative number?

Back

Flipping the inequality sign ensures that the relationship between the numbers remains true.

Tags

CCSS.6.EE.B.8

Front

What does the term 'solution set' refer to in inequalities?

Back

The solution set is the set of all values that satisfy the inequality.