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 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 it mean when an inequality has a 'greater than or equal to' sign (≥)?

Back

It means that the value on the left side can be greater than or equal to the value on the right side.

Front

What does it mean when an inequality has a 'less than' sign (<)?

Back

It means that the value on the left side must be strictly less than the value on the right side.

Front

Solve the inequality: 9 ≥ -2m + 2 - 3

Back

m ≥ -5

Front

What is the first step to solve the inequality: 2.50x + 5 ≤ 20?

Back

Subtract 5 from both sides to isolate the term with x.

Front

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

Back

x < 3

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the solution to the equation: (2x - 3) / 4 = 9?

Back

x = 19.5

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.