Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

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

Front

How do you solve the inequality: 6x + 10 > 5x - 12?

Back

x > -22

Front

What does it mean when an inequality is written as 'a < -2'?

Back

It means that the value of 'a' is less than -2.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality: 14 < -2a + 6 - 2a.

Back

a < -2

Front

What is the solution to the inequality: 9 + 4x > 21?

Back

x > 3

Tags

CCSS.7.EE.B.4B

Front

How do you interpret the solution x ≤ -2?

Back

It means that 'x' can be any number less than or equal to -2.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality: -4x + 14 ≤ 54?

Back

x ≥ -10

Tags

CCSS.7.EE.B.4B

Front

What is the first step in solving the inequality: -3(9 + x) ≥ -21?

Back

Distribute -3 to both terms inside the parentheses.

Front

What does the symbol '≥' represent in inequalities?

Back

It represents 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Tags

CCSS.6.EE.B.8