Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step 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 is written as '≥'?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

What does it mean when an inequality is written as '≤'?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left is either less than or equal to the value on the right.

Front

Solve the inequality: 3(y + 1) ≥ -6

Back

y ≥ -3

Front

Solve the inequality: 4(2a + 3) < 3(a - 1)

Back

a < -3

Front

Solve the inequality: 6x + 10 > 5x - 12

Back

x > -22

Front

Solve the inequality: -3(9 + x) ≥ -21

Back

x ≤ -2

Front

Solve the inequality: -4x + 14 ≤ 54

Back

x ≥ -10

Front

What is the first step in solving the inequality 2x + 5 < 13?

Back

Subtract 5 from both sides to isolate the term with the variable: 2x < 8.