Inequality Review

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

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

Front

How do you solve the inequality -3n + 8 > 29?

Back

Subtract 8 from both sides: -3n > 21. Then divide by -3 (remember to flip the inequality): n < -7.

Front

What inequality represents the situation: A volunteer has fewer than 26 envelopes left after addressing 75?

Back

The inequality is e - 75 < 26.

Front

How do you write an inequality for the total cost of renting a bike for 4 hours with a $10 deposit if the total is less than or equal to $65?

Back

The inequality is 4x + 10 ≤ 65.

Front

What does a number line graph showing x < -4 represent?

Back

It represents all values of x that are less than -4.

Front

What does a number line graph showing x ≥ 3 represent?

Back

It represents all values of x that are greater than or equal to 3.