Understanding and Solving Inequalities

Which symbol represents 'less than or equal to'?

• ≤

• >

• <

• ≥

What is the first step in solving inequalities?

• Combine like terms

• Use the distributive property

• Graph the inequality

• Flip the inequality sign

When graphing an inequality with a 'less than' symbol, what type of circle is used?

• Closed circle

• Open circle

• Shaded circle

• No circle

What happens to the inequality sign when you divide both sides by a negative number?

• It stays the same

• It flips direction

• It disappears

• It becomes an equal sign

In the inequality -3x < -9, what is the solution for x after solving?

• x > 3

• x < 3

• x = 3

• x ≥ 3

How do you eliminate a fraction in an inequality?

• Subtract the numerator from both sides

• Multiply both sides by the denominator

• Divide both sides by the numerator

• Add the denominator to both sides

What is the result of solving the inequality 4x - 6x ≥ -14?

• x ≤ 7

• x ≥ 7

• x > 7

• x < 7

When graphing x ≤ 8, what type of circle is used?

• Open circle

• Closed circle

• Shaded circle

• No circle

What is the solution for z in the inequality 5z ≤ 40?

• z ≥ 8

• z ≤ 8

• z < 8

• z > 8

What is the key rule to remember when solving inequalities involving negative numbers?

• Subtract the negative number

• Always add a positive number

• Flip the inequality sign when multiplying or dividing by a negative

• Ignore the negative sign