Solving Multi-Step Inequality Process

Front

What is the first step in solving the inequality: 6x - 32 < 4?

Back

Add 32 on both sides.

Front

What is the next step in solving the inequality: -10x + 2 ≤ -18?

Back

Subtract 2 on both sides.

Front

When do you flip the inequality sign?

Back

When you multiply or divide by a negative number.

Front

What is the first step in solving the inequality: -\frac{1}{2}(16x - 4) ≤ 2x - 18?

Back

Distribute.

Front

Solve the inequality: 7x - (3x - 4) ≥ 2(x - 6). What is the solution?

Back

x ≥ -8.

Front

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

Back

To get the variable on one side of the inequality by performing inverse operations.

Front

What is the purpose of combining like terms in an inequality?

Back

To simplify the inequality and make it easier to solve.

Front

What happens to the inequality sign when you multiply both sides by a negative number?

Back

The inequality sign flips.

Front

What is the result of adding the same number to both sides of an inequality?

Back

The inequality remains true.

Front

What is the first step in solving the inequality: 3x + 5 > 2x + 10?

Back

Subtract 2x from both sides.