Find three consecutive even integers. such as that 5 times of the first integer is 18 more than the sum of second and third interferes

The numbers would be 2, 4, and 6.

Step-by-step explanation:

In order to find this, start by setting the lowest number as x. Then we can determine that the next two even integers are x + 2 and x + 4. From this we can write the following equation.

5(x) = x + 2 + x + 4

5x  = 2x + 6

3x = 6

x = 2

Since the first number is 2, we know the next two are 4 and 6.

(x+3)(x+7)

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is