Solving Inequalities (Word Problems)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to a specified number.

Front

How do you represent 'no more than 10 pieces of candy' in inequality form?

Back

x ≤ 10

Front

If a speed limit is 55 mph, how would you express this as an inequality?

Back

s ≤ 55

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

How do you graph the inequality r ≥ -6?

Back

You would draw a number line, shade to the right of -6, and place a closed circle on -6 to indicate that -6 is included.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to. The latter includes the value itself.

Front

In the context of word problems, what does 'additional miles' mean?

Back

'Additional miles' refers to the miles traveled beyond a base fare or starting point.

Front

How do you set up an inequality for a budget problem?

Back

Identify the total amount available and set up an inequality that represents the total cost in relation to that amount.