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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

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

Front

How do you solve the inequality 10 < 3x + 19?

Back

Subtract 19 from both sides: 10 - 19 < 3x; -9 < 3x; Divide by 3: -3 < x or x > -3.

Front

How do you solve the inequality 4x + 5 ≥ 41?

Back

Subtract 5 from both sides: 4x ≥ 36; Divide by 4: x ≥ 9.

Front

What type of dot is used on a number line for '≤' or '≥'?

Back

A closed dot is used for '≤' or '≥'.

Front

What type of dot is used on a number line for '<' or '>'?

Back

An open dot is used for '<' or '>'.

Front

What inequality does the number line graph with a closed dot at 3 represent?

Back

x ≥ 3.