Inequalities with Substitution

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '<' mean?

Back

'<'' means 'less than'.

Front

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

Back

Substitute the number into the inequality and check if the statement is true.

Front

What is the solution to the inequality 11 + c ≥ 8 when c = -3?

Back

IS a solution, because 11 - 3 = 8, which satisfies the inequality.

Front

What is the solution to the inequality a < 4 when a = 4?

Back

Is NOT a solution, because 4 is not less than 4.

Front

What is the solution to the inequality c - 4 ≤ 11 when c = -7?

Back

IS a solution, because -7 - 4 = -11, which is less than or equal to 11.

Front

What is the solution to the inequality 3n + 9 > 12 when n = -2?

Back

Is NOT a solution, because 3(-2) + 9 = 3, which is not greater than 12.

Front

What is the solution to the inequality 2 - x > -4 when x = 6?

Back

Is NOT a solution, because 2 - 6 = -4, which is not greater than -4.

Front

What does it mean if an inequality has no solution?

Back

It means there is no value that can be substituted into the inequality to make it true.