Solving Two-Step Inequalities with Positive Coefficients

The video tutorial covers solving inequalities, emphasizing the similarities to solving equations but highlighting the use of inequality symbols, which provide a range of possible solutions. The instructor demonstrates solving inequalities through five examples, each focusing on different variables and operations, such as addition, subtraction, multiplication, and division. The tutorial concludes with a call to students to complete additional problems independently.

What is the main difference between solving equations and solving inequalities?

• Equations always have multiple answers.

• Inequalities always have one exact answer.

• Equations use different symbols and provide a range of answers.

• Inequalities use different symbols and provide a range of answers.

If 3M + 4 < 49, what is the range of possible values for M?

• M ≤ 15

• M > 15

• M ≥ 15

• M < 15

For the inequality 3M + 4 < 49, can M be 15?

• No

• Only if M is a fraction

• Only if M is negative

• Yes

In the inequality 5 + P/6 ≤ 2, what is the range of possible values for P?

• P < -18

• P ≥ -18

• P > -18

• P ≤ -18

For the inequality 5 + P/6 ≤ 2, can P be -18?

• No

• Yes

• Only if P is a fraction

• Only if P is positive

In the inequality 4D - 3 ≥ 9, what is the range of possible values for D?

• D < 3

• D ≥ 3

• D ≤ 3

• D > 3

For the inequality 4D - 3 ≥ 9, can D be 3?

• Only if D is a fraction

• Only if D is negative

• Yes

• No

In the inequality 25 + 4A ≤ 75, what is the range of possible values for A?

• A ≤ 12.5

• A ≥ 12.5

• A < 12.5

• A > 12.5

For the inequality 120 + 32N ≤ 720, what is the range of possible values for N?

• N > 18.75

• N < 18.75

• N ≥ 18.75

• N ≤ 18.75

For the inequality 120 + 32N ≤ 720, can N be 18.75?

• Only if N is a fraction

• Only if N is negative

• No

• Yes