When the sign is ≤ or ≥ (less/greater than or equal to), the dot is filled in.
When the sign is < or >, the dot is not filled in and looks like this o
To find out which number line represents the solution set, simplify the inequality and isolate x
[tex]-\frac{1}{2}x\geq4[/tex] Multiply -2 on both sides to get rid of -1/2
[tex](-2)(-\frac{1}{2}x)\geq4(-2)[/tex]
x ≤ -8 (The sign flips when you multiply/divide a negative number on both sides of the inequality)
so you get x is greater than or equal to -8, so you have a filled in circle on -8, and the arrow should be going to the right since x is greater than -8
answer : second choice / b
we have
-1/2x >_ 4
Solve the inequality
Multiply by both sides-----> remember change inequality sign
x<_ -4(2)
x<_ -8
the solution is the interval-----------> (-∞,-8]
using a graph tool
see the attached figure
the solution is the shaded area:
