Solving and Graphing Inequalities

Front

What does the inequality x < -4 mean?

Back

The value of x is less than -4.

Front

How do you solve the inequality m - 5 > 10?

Back

Add 5 to both sides: m > 15.

Front

What is the solution to the inequality 4x + 3 < -1?

Back

Subtract 3 from both sides: 4x < -4, then divide by 4: x < -1.

Front

If you can spend no more than 20 dollars, how is this represented in inequality form?

Back

x ≤ 20.

Front

What does the inequality -2k > 18 imply about k?

Back

Divide by -2 (remember to flip the inequality): k < -9.

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 '≤' represent?

Back

It means 'less than or equal to'.

Front

How do you graph the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.

Front

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

Back

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

Front

How do you solve the inequality 3x + 2 < 11?

Back

Subtract 2 from both sides: 3x < 9, then divide by 3: x < 3.