Question

Which graph shows the solution to the following inequality?

Answer 1

We are given a inequality with the equality sign in terms of variable 'r' as:

`-2r+3\geq 19`

Now we find the solution of the following inequality by solving for 'r'.

We subtract 3 from both side of the inequality to obtain:

`-2r+3-3\geq 19-3\\\\-2r\geq 16`

Now we multiply both side by "-1" to obtain:

`2r\leq -16`

Now on dividing both side of the inequality by 2 we obtain:

`r\leq -8`

Hence, the solution of the inequality are the set of all the points on the number line which are less than equal to -8.

i.e. the shaded region is to the left of -8 and closed circle at -8.

i.e. the solution is: (-∞,-8].

Number 2 graph is the correct graph of the solution.