Four more than the quotient of a number and 3 is equal to 6

equation: (x/3) + 4 = 6

where x = 6

Step-by-step explanation:

let the number be x

"quotient of a number and 3" > means x/3

"four more of a quotient of a number and 3" > (x/3) + 4

"equal to 6" > (x/3) + 4 = 6

i'm not sure if you are asked to find the number, but if you are:

(x/3) + 4 = 6

(x/3) = 6 - 4

(x/3) = 2

x = 2 x 3

x = 6

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.