Consider the universal set r, r, define the interval a=[−7,1],a=[−7,1], interval b=(−1,5),b=(−1,5), and cc be the negative real numbers. complete the following exercises in interval notation.
1. a∪b=a∪b=
2. a∩b∩c=a∩b∩c=
3. a∩(b∪c)=a∩(b∪c)=
4. a^c ∪ b^c∪ c^c=
5. (c−a)∪(b−c)=(c−a)∪(b−c)=

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.