Answer:
x>-2
Step-by-step explanation:
13+x>11
Subtract 13 from each side
13-13+x>11-13
x>-2
Step-by-step explanation:
step 1. This is a right triangle where a^2 + b^2 = c^2 (c is the hypotenuse).
step 2. a^2 + 6^2 = 8^2.
step 3. a^2 = 64 - 36.
step 4. a^2 = 28.
step 5. a (the ladder height along the wall) = sqrt (28) where sqrt is the square root.
<u>step</u><u> </u><u>6</u><u>.</u><u> </u><u>sqrt</u><u>(</u><u>2</u><u>8</u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u>(</u><u>sqrt</u><u>(</u><u>7</u><u>)</u><u>)</u><u>.</u>
Answer:
The inequality that you have is
. You can use mathematical induction as follows:
Step-by-step explanation:
For
we have:


Hence, we have that 
Now suppose that the inequality holds for
and let's proof that the same holds for
. In fact,

Where the last inequality holds by the induction hypothesis.Then,




Then, the inequality is True whenever
.

In both the sets, 3 and m as well as n can be found as common factors.
So,
3mn( m+4n)
Therefore the answer is 3mn (#3)