Inequalities (3.12-3.14)

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 or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 3x + 5 < 14?

Back

Subtract 5 from both sides: 3x < 9. Then divide by 3: x < 3.

Front

What is the solution to the inequality 7b - 3 < 11?

Back

b < 2.

Front

If x ≥ 28, what does this mean in terms of a goal?

Back

It means that x must be 28 or more to meet the goal.

Front

How do you graph the inequality b ≤ -2?

Back

Draw a number line, place a closed circle on -2, and shade to the left.

Front

What is the solution to the inequality 10 < 3x + 19?

Back

x > -3.

Front

What does the inequality 6 > x represent?

Back

It means that x is less than 6.

Front

How do you interpret the inequality b > -2?

Back

It means that b is any number greater than -2.