Solving Inequalities through Multiplication and Division

What is the main focus of Chapter 6, Lesson 7?

• Understanding quadratic functions

• Graphing linear equations

• Solving equations using addition or subtraction

• Solving inequalities using multiplication or division

What happens to an inequality when you multiply or divide both sides by a positive number?

• The inequality becomes false

• The inequality becomes an equation

• The inequality remains true

• The inequality symbol reverses

If 8x ≤ 40, what is the value of x?

• x ≤ 5

• x ≥ 5

• x > 5

• x < 5

What must you do to the inequality symbol when you multiply or divide both sides by a negative number?

• Reverse it

• Change it to an equal sign

• Remove it

• Leave it unchanged

If -2g < 10, what is the value of g?

• g < -5

• g > -5

• g ≤ -5

• g ≥ -5

When graphing the solution of an inequality on a number line, what does an open dot represent?

• The inequality is an equation

• The inequality is false

• The value is not included in the solution

• The value is included in the solution

If x / -3 ≤ 4, what is the value of x?

• x ≤ -12

• x ≥ -12

• x > -12

• x < -12

In the context of inequalities, what does a closed dot on a number line indicate?

• The inequality is an equation

• The inequality is false

• The value is not included in the solution

• The value is included in the solution

Ling earns $8 per hour. How many hours must she work to earn at least $120?

• At least 10 hours

• At least 12 hours

• At least 20 hours

• At least 15 hours

What does 'at least' mean in the context of inequalities?

• Greater than or equal to

• Equal to

• Greater than

• Less than