Solving Inequalities with Multiplication and Division

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like >, <, ≥, or ≤.

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 effect of multiplying or dividing both sides of an inequality by a negative number?

Back

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

Front

Solve the inequality: x/-2 > 4

Back

x < -8

Front

Solve the inequality: -15 < 5b

Back

b > -3

Front

Solve the inequality: x/4 > -3

Back

x > -12

Front

Solve the inequality: -6a > -78

Back

a < 13

Front

Solve the inequality: 8x < 48

Back

x < 6

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.