Why is the sum of an even number and an odd number odd?
a. think of the problem 14 + 11. draw dots to represent each number.
b. circle pairs of dots to determine if any of the dots are left over.
c. is this true every time an even number and an odd number are added together? why or why not?
d. what if the first addend is odd and the second is even? is the sum still odd? why or why not? for example, if we had 11 + 14, would the sum be odd?

Yes. There are easy rules to follow for this:

even + even always equals even

odd   + odd  always equals even

even + odd   always equals odd

Lets try examples:

1) even + even: 6 + 6 = 12, 4+2 = 6, 12+ 8 = 20, etc

2) odd  + odd:  7  + 7 = 14, 5+3 = 8, 17 + 1 = 18, etc

3) even + odd: 7  + 6 = 13, 3+4 = 7, 13 + 6 = 19, etc

Hope this helps!

10000

step-by-step explanation: divide by 2,

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!