Solving and Graphing Inequalities

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 the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides to get n ≥ 20.

Front

What does the graph of b ≤ –2 look like?

Back

The graph includes all numbers less than or equal to -2, with a closed dot at -2.

Front

If 5 ≥ x, will the dot at x = 5 be colored in?

Back

Yes, because the inequality includes the value 5.

Front

Write an inequality for: Alina needs at least a 90% on her quiz.

Back

g ≥ 90, where g is her quiz score.

Front

What is the solution to the inequality x > 20?

Back

Any number greater than 20 is a solution.

Front

How do you represent the inequality b > -2 on a number line?

Back

Draw an open dot at -2 and shade to the right.

Front

What does the inequality 11 ≤ a mean in words?

Back

It means that a is greater than or equal to 11.