Which of the numbers from the replacement set {-1, 0, 1} is also a member of the solution set for the equation: -3m + 8 <26+ m

All the numbers from the replacement set {-1, 0, 1} is also a member of the solution set for the equation: -3m + 8 <26+ m .

Step-by-step explanation:

We have , the numbers from the replacement set {-1, 0, 1} is also a member of the solution set for the equation: -3m + 8 <26+ m . Let's check number by number:

For {-1} :

substituting value of -1 in inequality  -3m + 8 <26+ m

⇒ -3m + 8 <26+ m

⇒

⇒

⇒

⇒ . True , so {-1} is a member  of the solution set for the equation: -3m + 8 <26+ m

For {0} :

substituting value of 0 in inequality  -3m + 8 <26+ m

⇒ -3m + 8 <26+ m

⇒

⇒

⇒ . True , so {0} is a member  of the solution set for the equation: -3m + 8 <26+ m

For {1} :

substituting value of 1 in inequality  -3m + 8 <26+ m

⇒ -3m + 8 <26+ m

⇒

⇒

⇒

⇒ . True , so {1} is a member  of the solution set for the equation: -3m + 8 <26+ m

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.