Multi-Step Inequality Flashcard

Front

Solve the inequality: 4(x - 2) + 3 ≤ 2(x + 5) - 1

Back

x ≤ 7

Front

Solve the inequality: 5(2x + 3) - 4 > 3(4x - 2) + 1

Back

x < 8

Front

Solve the inequality: 3x + 5 > 17

Back

x > 4

Front

Solve the inequality: 3(x + 2) - 4 > 5x - 6

Back

x < 4

Front

Solve the inequality: 2(4x - 3) ≤ 10

Back

x ≤ 2

Front

Definition: Multi-Step Inequality

Back

An inequality that requires more than one step to solve, often involving combining like terms and isolating the variable.

Front

What is the first step in solving a multi-step inequality?

Back

Distribute any coefficients and combine like terms.

Front

What does it mean to isolate the variable in an inequality?

Back

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

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.

Front

Example of a multi-step inequality: 2x + 3 > 7. What is the solution?

Back

x > 2.