Solving Linear Inequalities

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 (>, <, ≥, ≤) instead of an equal sign.

Front

How do you solve the inequality 9x - 3 > 6?

Back

Add 3 to both sides: 9x > 9. Then divide by 9: x > 1.

Front

What does the inequality x < -4 mean on a number line?

Back

It represents all numbers less than -4, which are to the left of -4 on the number line.

Front

How do you graph the solution of the inequality x < -4?

Back

Draw a number line, place an open circle at -4, and shade to the left.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

How do you solve the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides: -2h > 24. Then divide by -2 (remember to flip the inequality): h < -12.

Front

What is the solution to the inequality 8x - 19 < 13?

Back

Add 19 to both sides: 8x < 32. Then divide by 8: x < 4.

Front

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

Back

It means 'greater than'.

Front

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

Back

It means 'less than'.

Front

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

Back

It means 'greater than or equal to'.