Question

30 POINTS!! HELP ASAP!

Answer 1

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.

Step-by-step explanation:

Answer 2

Answer:

After solving the inequality, we get:

$x\leq -10$

With the plotted inequality given.

Step-by-step explanation:

Step 1: Manipulate and solve the inequality

The inequality is given as:

$\frac{1}{2}x+8\leq 3$

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

$\frac{1}{2}x+8\leq 3\\\\\text{Subtract 8 from both sides of the equation:}\\\frac{1}{2}x+8-8\leq 3-8\\\\\text{Simplify:}\\\frac{1}{2}x\leq -5\\\\\text{Multiply by 2 on both sides of the inequality:}\\2\times \frac{1}{2}x\leq -5\times 2\\\\\text{Simplify:}\\x\leq-10$

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: