Exploring Adding and Subtracting Rational Expressions

This video tutorial covers solving multi-step inequalities, emphasizing the importance of flipping the inequality symbol when multiplying or dividing by a negative number. It provides step-by-step examples, including distribution, combining like terms, and handling variables on both sides. The tutorial also demonstrates graphing solutions on a number line and checking possible solutions.

What must you remember to do when multiplying or dividing both sides of an inequality by a negative number?

• Keep the inequality symbol the same

• Subtract the same number from both sides

• Flip the inequality symbol

• Add the same number to both sides

In problem 1, what is the solution to the inequality 3x - 12 > -18?

• x > -2

• x < -2

• x > 2

• x < 2

In problem 2, after distributing and combining like terms, what is the inequality before solving for 'a'?

• -5a + 14 <= -31

• -2a + 14 >= -31

• -5a + 14 >= -31

• -2a + 14 <= -31

In problem 5, what is the first step to solve the inequality -6w - 9 >= -3?

• Add 6w to both sides

• Divide by -6

• Subtract 8w from both sides

• Add 9 to both sides

In problem 6, what is the solution to the inequality -3r < -36?

• r > 12

• r < -12

• r > -12

• r < 12

In problem 8, what is the inequality after subtracting 7p from both sides?

• -9p + 3 >= 51

• -9p + 3 <= 51

• -16p + 3 >= 51

• -16p + 3 <= 51

In problem 9, what is the inequality after subtracting 5c from both sides?

• -3c - 7 <= 31

• -2c - 7 >= 31

• -2c - 7 <= 31

• -3c - 7 >= 31

In problem 10, what is the solution to the inequality 5v > 0?

• v >= 0

• v < 0

• v > 0

• v <= 0

In problem 12, what is the solution to the inequality 6x - 16 < -64?

• x < -8

• x < 8

• x > 8

• x > -8

In problem 14, what is the inequality after subtracting 2k from both sides?

• -7k + 28 >= -17

• -7k + 28 <= -17

• -9k + 28 >= -17

• -9k + 28 <= -17