Solutions for 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 in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x can be any number less than or equal to 7.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ -2 means x can be any number greater than or equal to -2.

Front

How do you determine if a number is a solution to an inequality?

Back

To determine if a number is a solution to an inequality, substitute the number into the inequality and check if the statement is true.

Front

Is 2 a solution for b < -3?

Back

No, because 2 is not less than -3.

Front

Is 4 a solution for p ≥ -8?

Back

Yes, because 4 is greater than -8.

Front

Which of the following is part of the solution set for y < -4? 0, 1, 2 or -5, -4, -3?

Back

-5, -4, -3 is part of the solution set because all these numbers are less than -4.

Front

Is 6.8 a solution for p ≤ 7?

Back

Yes, because 6.8 is less than or equal to 7.