Solving 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?

Back

The symbol '>' means 'greater than'. For example, a > 4 means 'a is greater than 4'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, a < 6 means 'a is less than 6'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, s ≥ 55 means 's is greater than or equal to 55'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ -2 means 'y is less than or equal to -2'.

Front

How do you solve the inequality 7n - 1 > 76?

Back

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

Front

What is the solution to the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -2.

Front

How do you graph the inequality a > 6?

Back

Draw a number line, place an open circle at 6, and shade to the right.

Front

How do you write an inequality for a maximum speed limit of 55?

Back

s ≤ 55, meaning speed s must be less than or equal to 55.

Front

What is the solution to the inequality 3x + 4 < 10?

Back

Subtract 4 from both sides: 3x < 6. Then divide by 3: x < 2.