Suppose one of your friends was absent from school on the day your math class learned about graphing rational numbers on the number line. Using complete sentences, explain to your friend how to graph the opposite of 6.2 on the number line.

i think it would be R/{6.2}

So i would ask this friend to draw a number line and label 6.2 on the number line. Then i would ask her if she knew what the opposite number of 6.2 is.

Yes- The number line will always continue, its indefinite. This means it can go forward or backwards. Make sure that your friend wrote 0. You always need a starting point. Then tell her to draw the tally marks forward the same way she did backwards. Locate the 6.2 and make all of the numbers negative.

im here

step-by-step explanation:

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