Question

(m-4)(m+4)-m(m+2)<m+2​

Answer 1

Ответ:

Объяснение:

m²-16 - m² -2m < m+2

-2m-m < 2+16

-3m < 18

m > 18/(-3)

m > -6

m∈ (-6; +∞)

Answer 2

Let's solve the inequality step by step:

1. Start by expanding the expressions on the left side of the inequality:

   (m - 4)(m + 4) - m(m + 2) < m + 2

   Now, simplify each part:

   (m^2 + 4m - 4m - 16) - (m^2 + 2m) < m + 2

2. Continue to simplify:

   (m^2 + 4m - 4m - 16) - (m^2 + 2m) < m + 2

   Now, simplify within the parentheses:

   (m^2 - 16) - (m^2 + 2m) < m + 2

3. Next, combine like terms:

   m^2 - 16 - m^2 - 2m < m + 2

4. Subtract m^2 from both sides to eliminate it from the inequality:

   -16 - 2m < m + 2

5. Add 2m to both sides:

   -16 < m + 2m + 2

6. Combine like terms on the right side:

   -16 < 3m + 2

7. Finally, subtract 2 from both sides to isolate 3m:

   -16 - 2 < 3m

   -18 < 3m

8. Divide both sides by 3:

   -18/3 < m

   -6 < m

So, the solution to the inequality is:

m > -6