Question

how can i graph y+4<1/2(x-4) http://prntscr.com/35wfcm

Answer 1

factor out the greater term

Answer 2

\(\bf y+4<1/2(x-4)\\
y+4 < \cfrac{1}{2}(x-4)\implies y+4< \cfrac{x}{2}-\cfrac{4}{2}\implies y+4 < \cfrac{x}{2}-2
\\ \quad \\
y< \cfrac{x}{2}-2-4\implies y < \cfrac{x}{2}-6
\\ \quad \\
graph \implies y = \cfrac{x}{2}-6\quad "<"\textit{ means dashed line}\)

Answer 3

woops pasted too much

Answer 4

anyhow then you pick a point NOT in the line, and check the inequality, to see which part gets shaded -> http://www.regentsprep.org/regents/math/algebra/ae85/grineqa.htm

Answer 5

thanks for helping ill try it out :)

Answer 6

yw