Solving inequalities

Front

Translate: Twice a number is smaller than 42.

Back

2x < 42

Front

Solve the inequality: 4x - 3 < -1x + 12

Back

x < 3

Front

Which graph represents x > -2?

Back

Graph with an open circle at -2 and shading to the right.

Front

Solve the inequality: -2(x+2) < 14

Back

x > -9

Front

Solve the inequality: -2x + 3(-4x + 6) ≤ 116

Back

x ≥ -7

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

How do you solve an inequality?

Back

Isolate the variable on one side using inverse operations, similar to solving equations.

Front

What is the solution set of an inequality?

Back

The set of all values that satisfy the inequality.