Multistep Inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

1. Subtract 14 from both sides: -4x ≤ 40. 2. Divide by -4 (remember to flip the inequality): x ≥ -10.

Tags

CCSS.6.EE.B.8

Front

What does the solution x ≥ -10 represent on a number line?

Back

It represents all numbers greater than or equal to -10, including -10 itself.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving the inequality a - 6 ≤ 15 + 8a?

Back

Add 6 to both sides to isolate the variable terms.

Front

What is the solution to the inequality a - 6 ≤ 15 + 8a?

Back

a ≥ -3.

Front

How do you interpret the solution a ≥ -3?

Back

It means that the variable a can take any value greater than or equal to -3.

Tags

CCSS.6.EE.B.8

Front

What is the process to solve the inequality 6 - 2h > 30?

Back

1. Subtract 6 from both sides: -2h > 24. 2. Divide by -2 (flip the inequality): h < -12.

Tags

CCSS.6.EE.B.8

Front

What does the solution h < -12 indicate?

Back

It indicates that h can be any number less than -12.

Tags

CCSS.6.EE.B.8

Front

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

Back

Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.

Tags

CCSS.6.EE.B.8

Front

What is an example of a multistep inequality?

Back

Example: 3(x - 2) + 4 < 2x + 10.