Solving Inequalities

Front

Translate: Twice a number is smaller than 42.

Back

2x < 42

Front

Solve the inequality: 6x - 4 ≥ 26

Back

x ≥ 5

Front

Solve the inequality: 3(x - 3) ≤ 2(x + 2)

Back

x ≤ 13

Front

Solve the inequality: -1(2x + 4) ≥ 6

Back

x ≤ -5

Front

Solve the inequality: 3x - 2 < 13

Back

x < 5

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving equations.

Front

What is the solution set of an inequality?

Back

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