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 on both sides of the inequality, just like in equations, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

Solve the inequality: 3x + 5 > 14

Back

x > 3.

Front

What does it mean if an inequality is true for all values of x?

Back

It means the inequality is an identity, and it holds for every possible value of x.

Front

Solve the inequality: 2x - 7 < 9

Back

x < 8.

Front

What is the solution set of the inequality x + 4 > 10?

Back

x > 6.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Front

Solve the inequality: -4x < 16

Back

x > -4.

Front

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

Back

The inequality sign reverses direction.

Front

Solve the inequality: 5 - 2x > 1

Back

x < 2.