4.1-4.2 Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you solve the inequality x + y > -10 for y when x = -15?

Back

Substituting x = -15 into the inequality gives: -15 + y > -10. Solving for y gives y > 5.

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

Is 10 a solution of the inequality x - 3 ≥ 2?

Back

Yes, because substituting x = 10 gives 10 - 3 ≥ 2, which simplifies to 7 ≥ 2, a true statement.

Front

How do you express 'a person who is no more than 10 years old' as an inequality?

Back

This can be expressed as c ≤ 10, where c represents the age of the person.

Front

What is the solution set of the inequality y > 5?

Back

The solution set includes all real numbers greater than 5.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

How can you check if a number is a solution to an inequality?

Back

To check if a number is a solution, substitute it into the inequality and see if the resulting statement is true.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Front

If p - 1 ≤ 4, what is the value of p?

Back

Adding 1 to both sides gives p ≤ 5.