Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution a

Question

3 years ago

5

nd the line graph. 8 ≥ 3 x + 5

2 answers:

Marta_Voda [28] · Answer 1 · 2022-07-12T20:47:48+03:00

6 0

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

Vesnalui [34] · Answer 2 · 2022-07-12T22:54:47+03:00

<h2>Answer:</h2>

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.

<h2>Step-by-step explanation:</h2>

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.