Question

30 POINTS!! HELP ASAP!

Answer 1

After solving the inequality, we get:

`x\leq -10`

With the plotted inequality given.

Explanation:

Step 1: Manipulate and solve the inequality

The inequality is given as:

`(1)/(2)x+8\leq 3`

Make
`x` the subject of the inequality to solve it:

`(1)/(2)x+8\leq 3\\\\\text{Subtract 8 from both sides of the equation:}\\(1)/(2)x+8-8\leq 3-8\\\\\text{Simplify:}\\(1)/(2)x\leq -5\\\\\text{Multiply by 2 on both sides of the inequality:}\\2* (1)/(2)x\leq -5* 2\\\\\text{Simplify:}\\x\leq-10`

Step 2: Plot the inequality

After solving the inequality, we get:

`x\leq -10`

Which means that
`x` consists of all values that are equal to and less than
`-10`.

On a number line, when the inequality includes the value, it is denoted by a closed circle.

With all this information, let's plot the number line:

Answer 2

Answer: Hi this would be the arrow that goes to the left and the dot on the right, so something like ← and dot. Hope this helps, I know this is confusing but try your best.

Explanation: