Solving Inequalities (Word Problems)

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

'≥' means 'greater than or equal to'.

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship, and use appropriate inequality symbols to express the condition.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

What does the solution of an inequality represent?

Back

The solution of an inequality represents a range of values that satisfy the condition.

Front

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

If 3x + 5 < 20, what is the first step to solve for x?

Back

Subtract 5 from both sides to isolate the term with x.

Front

In the inequality 10.25h ≥ 550, what does h represent?

Back

h represents the number of hours Sam needs to work to afford the laptop.

Front

What is the solution to the inequality 0.75n + 1.75 ≤ 20?

Back

n ≤ 24.33, meaning Sam can travel up to approximately 24 additional miles.