inequality word problems

Front

What is an inequality?

Back

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

Front

How do you represent a situation where a number is less than another number?

Back

You use the < symbol. For example, if x is less than 5, it is written as x < 5.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

Front

How do you write an inequality for a situation where a person earns money?

Back

You can write an inequality using the form: rate × time ≥ desired amount. For example, if someone earns $15 per hour and wants to earn at least $105, it would be written as 15h ≥ 105.

Front

What is the first step to solve an inequality?

Back

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

Front

If 30 + s ≤ 45, how do you solve for s?

Back

Subtract 30 from both sides: s ≤ 15.

Front

What does the inequality 22 + 4n < 82 represent?

Back

It represents that twenty-two more than four times a number n is less than 82.

Front

How do you express a situation where a store wants to make a profit of at least a certain amount?

Back

You can express it as: profit per item × number of items sold ≥ desired profit.

Front

If a brother is 2 years older than you and he is 18, how do you find your age?

Back

You can write the equation: m + 2 = 18, where m is your age.

Front

What is the solution to the inequality 5.50x ≥ 5225?

Back

To find x, divide both sides by 5.50: x ≥ 950.