Linear Inequalities Practice

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

Front

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

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Front

How do you solve the inequality 5(v + 3) - 10v > -10?

Back

First, simplify: 5v + 15 - 10v > -10. Combine like terms: -5v + 15 > -10. Then, isolate v: -5v > -25, so v < 5.

Front

How do you solve the inequality 5(6 + 3r) + 7 ≥ 127?

Back

First, simplify: 30 + 15r + 7 ≥ 127. Combine like terms: 15r + 37 ≥ 127. Then, isolate r: 15r ≥ 90, so r ≥ 6.

Front

What is the inequality that represents Gabriela's employee scheduling problem?

Back

The inequality is 20 + 40f ≤ 300, where f is the number of full-time employees.

Front

How do you solve the inequality x ≤ 14?

Back

The solution indicates that x can take any value less than or equal to 14.

Front

How do you solve the inequality x ≥ 2?

Back

The solution indicates that x can take any value greater than or equal to 2.