Solving Multistep Inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations like 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 to both sides of the inequality, similar to solving an equation, while maintaining the direction of the inequality.

Front

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

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.

Front

Solve the inequality: 9 ≥ -2m + 2 - 3

Back

m ≥ -5

Front

Solve the equation: (2x - 3) / 4 = 9

Back

x = 19.5

Front

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

Back

x < 3

Front

What is the first step in solving the inequality: 5x - 7 < 8?

Back

Add 7 to both sides to isolate the term with x.

Front

What does it mean if an inequality has no solution?

Back

An inequality has no solution if there are no values that can satisfy the inequality, often resulting in a contradiction.

Front

How do you check your solution for an inequality?

Back

To check your solution, substitute the value back into the original inequality to see if it makes the inequality true.

Front

Solve the inequality: x + 4 ≥ 2

Back

x ≥ -2