George has 2 times the amount of points that is 4 less than his sister’s. his sister has 16 points. how many points does george have? what operations are needed to solve this word problem, and in what order should they be used? addition and subtraction, in that order addition and multiplication, in that order subtraction and division, in that order subtraction and multiplication, in that order

If we take the amount of points to be x before doing any operations on it ,
george has 2 times points of x 
however x is 4 points less than sisters points which is 16 points 
Then we subtract 4 from 16 = 12
12 is equal to x and george has twice of x 
Therefore we first subtract 4 from 16 and then multiply  it by 2, thats 12*2 = 24 
therefore george has 24 points 
the operations are subtraction and multiplication in order 

The correct answer will be d. -4

and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

.

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .