Solving Multi-Step Inequalities Challenge

The video tutorial covers solving and graphing multi-step inequalities. It begins with an introduction to the topic, followed by detailed examples of solving inequalities, including word problems. The tutorial explains the use of open and filled dots on graphs and addresses scenarios with no solution or infinite solutions. Key concepts such as simplifying, adding, subtracting, and dividing in inequalities are discussed.

What is the first step in the SAD MEEP method for solving inequalities?

• Multiply

• Add

• Simplify

• Subtract

In the inequality 4y + 11 < 43, what is the value of y after solving?

• y < 8

• y > 8

• y ≤ 8

• y ≥ 8

When graphing the inequality y < 8, what type of dot is used at 8?

• Filled dot

• Shaded dot

• Open dot

• Closed dot

If you divide both sides of an inequality by a negative number, what must you remember to do?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

In the word problem, what does 'at least' translate to in terms of inequality symbols?

• ≤

• ≥

• <

• >

What is the final inequality after solving 5 - 6x ≥ 4x + 45?

• x < -4

• x ≥ -4

• x ≤ -4

• x > -4

When using the distributive property, what is the result of 2(h + 6)?

• 2h + 6

• 2h - 6

• 2h - 12

• 2h + 12

What is the inequality after simplifying and solving 2h + 12 > 24 - 3h?

• h ≤ 2.4

• h ≥ 2.4

• h > 2.4

• h < 2.4

What does it mean if you end up with a false statement like 25 ≤ -12 when solving an inequality?

• The inequality is always false

• The inequality is always true

• All real numbers are solutions

• There is no solution

What does it mean if you end up with a true statement like 60 ≥ 60 when solving an inequality?

• There is no solution

• All real numbers are solutions

• The inequality is always false

• The inequality is always true