Question

Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution and the line graph. 8 ≥ 3 x + 5

Answer 1

You'll have to subtract 5 on each side and that'll leave 3 ≥ 3x
Then you'll divide on both sides and flip the inequality: x ≤ 1

Answer 2

Answer:

The solution to the inequality is:

                 $x\leq 1$

i.e. the solution is the collection of all the points which are less than or equal to 1.

Step-by-step explanation:

We are given a linear inequality in terms of the single variable x as follows:

                               $8\geq 3x+5$

which could also be written as:

                $3x+5\leq 8$

on subtracting both side of the inequality by 5 we have:

$3x+5-5\leq 8-5\\\\3x+0\leq 3\\\\3x\leq 3$

on dividing both side of the inequality by 3 we have:

                      $x\leq 1$

The shaded region will be to the left of 1 with closed circle at 1.