Question

Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7

Answer 1

1.Here it given that

$\mathbf{3X+1< 7}$

$\mathbf{3X< 7-1}$

$\mathbf{3X< 6}$

$\mathbf{X< \frac{6}{3}}$

So

$\mathbf{X< 2}$         ...1)

2.Means

X is less than 2

If we draw a line of X= 2 , which is perpendicular to x-axis and parallel to y-axis.

3. On checking point origin (0,0) on equation 1), which give

$\mathbf{0< 2}$    ...2)

Above equation 2) is correct. From equation 2) ,it is clear that origin lie on left side of line X=2.

3.So region is on left side of line X=2.

Here line X=2 is shown by dashed line because it is not equal to 2.