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 or equal to'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you represent the solution to the inequality 5w ≥ 30 on a number line?

Back

You would use a closed dot at 6 (since 5w = 30 when w = 6) and shade to the right to indicate all values greater than or equal to 6.

Front

What is the first step to solve the inequality 30x + 600 ≥ 1,500?

Back

Subtract 600 from both sides to isolate the term with x.

Front

What is the solution to the inequality -9x ≥ 27?

Back

x ≤ -3.

Front

When graphing the inequality x < 5, what type of dot is used?

Back

An open dot is used to indicate that 5 is not included in the solution.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between an open dot and a closed dot on a number line?

Back

An open dot indicates that the number is not included in the solution, while a closed dot indicates that the number is included.

Front

How do you graph the inequality x ≥ 2?

Back

You would use a closed dot at 2 and shade to the right to indicate all values greater than or equal to 2.