2.4 - Solving Multi-Step Inequalities

Front

Solve the inequality: -3(9 + x) ≥ -21

Back

x ≤ -2

Front

Solve the inequality: 3(y + 1) ≥ -6

Back

y ≥ -3

Front

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

Back

x > -22

Front

Solve the inequality: -4x + 14 ≤ 54

Back

x ≥ -10

Front

Solve the inequality: 9 + 4x > 21

Back

x > 3

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the first step in solving multi-step inequalities?

Back

The first step is to simplify both sides of the inequality if possible.

Front

How do you isolate the variable in an inequality?

Back

You perform inverse operations to both sides of the inequality, just like in equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.