Solving Compound Inequalities Challenge

The video tutorial covers solving and graphing compound inequalities. It begins with a review of simple inequalities and progresses to compound inequalities, including both 'and' and 'or' types. The instructor demonstrates solving these inequalities step-by-step and graphing their solutions on a number line. Key concepts such as flipping inequality signs when dividing by negative numbers are also explained.

What is the first step in solving the inequality 80 > 4x + 12?

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply both sides by 4

• Divide both sides by 4

After solving the inequality 80 > 4x + 12, what is the value of x?

• x < 17

• x > 17

• x = 17

• x ≤ 17

In the compound inequality -3 < 2x + 5 ≤ 19, what is the first step to isolate the x term?

• Multiply all sections by 2

• Add 5 to all sections

• Subtract 5 from all sections

• Divide all sections by 2

What is the final solution for the compound inequality -3 < 2x + 5 ≤ 19?

• -4 ≤ x ≤ 7

• -4 ≤ x < 7

• -4 < x < 7

• -4 < x ≤ 7

In the inequality -50 < 7x + 6 < -8, what is the result after subtracting 6 from all sections?

• -56 < 7x < -2

• -56 < 7x < -8

• -56 < 7x < -14

• -56 < 7x < -14

What is the final solution for the compound inequality -50 < 7x + 6 < -8?

• -8 < x < -2

• -8 ≤ x ≤ -2

• -8 < x ≤ -2

• -8 ≤ x < -2

In the inequality 3y - 2 > 7, what is the first step to isolate the y term?

• Subtract 2 from both sides

• Multiply both sides by 3

• Divide both sides by 3

• Add 2 to both sides

What is the final solution for the inequality 3y - 2 > 7?

• y ≤ 3

• y ≥ 3

• y < 3

• y > 3

In the inequality -2y + 1 ≥ 9, what happens to the inequality sign when dividing by a negative number?

• It becomes a less than sign

• It flips

• It stays the same

• It becomes an equal sign

What is the final solution for the inequality -2y + 1 ≥ 9?

• y ≥ -4

• y ≤ -4

• y > -4

• y < -4