Inequalities (Graph, Write, Solve One-Step to Multi-Step) EXIT

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 'greater than'. For example, if m > 17, then m is any number greater than 17.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, if x < 4, then x is any number less than 4.

Front

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

Back

Draw a number line, place an open circle on 4, and shade to the left to indicate all numbers less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, c ≥ 25 means c is 25 or any number greater than 25.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is 4 or any number less than 4.

Front

How do you solve the inequality 3(x - 2) < 2(x + 9)?

Back

Distribute to get 3x - 6 < 2x + 18, then subtract 2x from both sides to get x - 6 < 18, and finally add 6 to both sides to find x < 24.

Front

What is the solution to the inequality 4m + 1 < 5m - 7?

Back

Subtract 4m from both sides to get 1 < m - 7, then add 7 to both sides to find m > 8.

Front

If m > 17, which of the following is a possible value for m? 12, 10, 23, 7

Back

23 is a possible value for m.

Front

What does the statement 'At least 25 cats are on my porch' represent in inequality form?

Back

c ≥ 25, where c is the number of cats.