Find the student’s error in solving the following inequality.
31 < –5x + 6
25 < –5x
–5 < x

Step-by-step explanation:

When dividing both sides of an equality by a negative number, the sign should be changed:

25 < -5x

-5 > x

x < -5

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.