Answer : option C
The given inequality is 4x-3 > -7
4x - 3 > -7, we need to get x alone
Add 3 on both sides
4x -3 + 3 > -7 + 3
4x > -4
Now divide by 4 on both sides
x > -1
To graph the inequality we look at -1 on number line
For > symbol we use open circle and shade to the right
For < symbol we use open circle and shade to the left
For >= symbol we use closed circle and shade to the right
For < symbol we use closed circle and shade to the left
We got x > -1, so we put open circle at x=-1 and shade to the right.
Option C is the number line shows the solution to the given inequality.
