Four times two less than a number is the same as thrice one more than the number. find the number​

11

Step-by-step explanation:

4 times 2 less than the number is equal to 4 * (x-2).

3 * one more than the number is equal to 3 * (x+1).

you get 4 * (x-2) = 3 * (x+1).

distribute the multiplication on each side of the equation to get:

4x - 8 = 3x + 3

subtract 3x from both sides of the equation and add 8 to both sides of the equation to get: 4x - 3x = 3 + 8

combine like terms to get x = 11.

that's your solution.

4 * (x-2) is equal to 4 * (11 - 2) which is equal to 4 * 9 which is equal to 36.

3 * (x+1) is equal to 3 * (11 + 10 which is equal to 3 * 12 which is equal to 36.

your solution is that the number is equal to 11!

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

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