What value of x is in the solution set of –2(3x 2) > –8x 6? –6 –5 5 6

Option (4) is correct.

x= 6 is in the solution of given inequality.

Step-by-step explanation:

Given inequality  

We have to find the solution set of given inequality.

Apply distributive rule, to both sides, we have,

Adding 4 both sides, we have,

Add 8x both sides, we have,

Simplify, we have,

Divide both side by 2, we have,

Thus, values greater than 5 are in the solution.

Thus, x= 6 is in the solution.

Thus, Option (4) is correct.

answer: the value of x is 7cm

step-by-step explanation:

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)