What is the solution set of {x | x < -5} ∩ {x | x > 5}?

all numbers less than -5 and greater than 5
the numbers between -5 and 5
the empty set
all real numbers

The first part of the set tells us that x is less than -5.

The second part tells us that x is greater than 5.

The intersection sign in the middle tells us to find "common" item in the first part and second part.

Is there any number both greater than 5 and less than -5? No!

So our solution doesn't exist and is the empty set.

ANSWER: The empty set

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)