Write one of the following options next to each of these statements below. A 'This statement is always true'
B 'This statement is sometimes true'
C 'This statement is never true'

a) When you add two negative numbers the answer is negative. __

b) When you subtract a positive number from a negative
number the answer is negative. __

c) When you subtract a negative number from a positive
number the answer is negative. __

d) When you subtract a negative number from a negative
number the answer is negative. __

see answers below

Step-by-step explanation:

A 'This statement is always true'

B 'This statement is sometimes true'

C 'This statement is never true'

a) When you add two negative numbers the answer is negative. _A_

e.g. -4 + -1 = -5

b) When you subtract a positive number from a negative

number the answer is negative. _A_

e.g.  -5 - (+4) = -9

c) When you subtract a negative number from a positive

number the answer is negative. _C_

e.g. 5- (-2) = 8   always positive, => never negative

d) When you subtract a negative number from a negative

number the answer is negative. _B_

-2 - (-4) = +2

-2 - (-1)  = -1

9514 1404 393

  x = 2

Step-by-step explanation:

There are no algebraic methods for solving an equation like this.

The proof of Fermat's Last Theorem demonstrates that no integer x-value can possibly exist that is greater than 2. Trial and error (or your familiarity with Pythagorean triples) tells you that x=2 is a solution for this equation. Equations like this can be solved graphically, as in the attached.