Solving 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 -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

What does it mean when an inequality has 'All Real Numbers' as a solution?

Back

It means that any value for the variable satisfies the inequality.

Front

Solve the inequality 3(2x - 8) < 6x + 3.

Back

All Real Numbers.

Front

What is the solution to the inequality 6x + 10 > 5x - 12?

Back

x > -22.

Front

How do you check the solution of an inequality?

Back

Substitute a value from the solution set back into the original inequality to see if it holds true.

Front

What is the solution to the inequality 12 ≥ 15 - 6y?

Back

y ≥ ½.

Front

What does the term 'isolating the variable' mean in solving inequalities?

Back

It means to manipulate the inequality so that the variable is on one side and all other terms are on the other side.

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 is the solution to the inequality -3(9 + x) ≥ -21?

Back

x ≤ -2.