Inequalities Review - 8th

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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you solve the inequality -2(x + 2) < 14?

Back

First, distribute: -2x - 4 < 14. Then add 4: -2x < 18. Finally, divide by -2 (remember to flip the inequality): x > -9.

Front

When graphing the inequality 5 ≥ x, what type of dot is used?

Back

A closed dot is used because the inequality includes 'greater than or equal to'.

Front

What type of dot is used for the inequality x < 3?

Back

An open dot is used because the inequality does not include '3'.

Front

If 6 > x, what can we say about the value of x?

Back

x must be less than 6.

Front

What is the solution set for the inequality x ≤ 4?

Back

The solution set includes all numbers less than or equal to 4.