[tex] \\
\text{Let Jackie wants to make x necklaces and y bracelets.}\\
\\
\text{now since it take her half an hour to make a necklace and one hour to }\\
\text{make a bracelet.}\\
\text{Also since she has fewer than 20 h total to work on the jewelry. so we have}\\
\\
0.5x+1y<20\\
\\
\Rightarrow 0.5x+y<20\\
\\
\text{and she want at least twice as many bacelets as necklaces, so we have}\\
\\
y\geq 2x\\
\\
\text{also the number of necklaces should be greater than 0. so }x>0. [/tex]
So the required inequalities are:
[tex] 0.5x+1y<20, \\
\\
y\geq 2x\\
\\
\text{and } x>0 [/tex]
