Classwork 1.5B: Write and Solve 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

How do you represent a situation where a person wants to have at least a certain amount of money?

Back

You can represent this situation with an inequality where the current amount plus the income must be greater than or equal to the target amount.

Front

If Katie has $25 and makes $12 for each dog she walks, how would you write an inequality to find out how many dogs she needs to walk to have at least $200?

Back

25 + 12x ≥ 200, where x is the number of dogs.

Front

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

Back

The symbol '<' means 'less than'.

Front

How do you solve the inequality 15h ≥ 105 for h?

Back

Divide both sides by 15: h ≥ 7.

Front

What is the first step to solve the inequality 3x + 20 ≤ 120?

Back

Subtract 20 from both sides: 3x ≤ 100.

Front

If Destiny spends $75 on a coat and wants to spend at most $300 on sweaters, how would you write the inequality for the number of sweaters she can buy?

Back

10s + 75 ≤ 300, where s is the number of sweaters.

Front

What is the solution to the inequality 1.75 + 0.65m < 10?

Back

Subtract 1.75 from both sides: 0.65m < 8.25, then divide by 0.65: m < 12.69.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality.