Solving Multi-Step Inequalities 24-25

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 operations such as addition, subtraction, multiplication, or division.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, perform inverse operations on both sides of the inequality, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean in an inequality?

Back

'≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

Front

How do you graph the solution of an inequality?

Back

To graph the solution of an inequality, use a number line. Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution set.

Front

What is the solution to the inequality -2x + 3(-4x + 6) ≤ 116?

Back

x ≥ -7.

Front

What is the solution to the inequality -3 - 6(4x + 6) > -111?

Back

x < 3.

Front

Which group of numbers satisfies the inequality x < -4?

Back

-4.001, -5, -6.

Front

What is the solution to the inequality x ≥ -27?

Back

x ≥ -27.

Front

If a movie ticket costs $10, how much money should Kristin take with her?

Back

x ≥ 10.