Question

a)x-4<2 b) x+(-8)<5 c)3-x<0 d)2x+1<6 e)2x-3>3 f)3x-1<2
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Answer 1

$a).x-4\ \textless \ 2 \\ x\ \textless \ 2+4 \\ x\ \textless \ 6 \\ b).x+(-8)\ \textless \ 5 \\ x-8\ \textless \ 5 \\ x\ \textless \ 5+8 \\ x\ \textless \ 13 \\ c).3-x\ \textless \ 0 \\ -x\ \textless \ 0-3 \\ -x\ \textless \ -3 \\ x\ \textgreater \ 3$
$\displaystyle d).2x+1\ \textless \ 6 \\ 2x\ \textless \ 6-1 \\ 2x\ \textless \ 5 \\ x\ \textless \ \frac{5}{2} \\ e).2x-3\ \textgreater \ 3 \\ 2x\ \textgreater \ 3+3 \\ 2x\ \textgreater \ 6 \\ x\ \textgreater \ \frac{6}{2} \\ x\ \textgreater \ 3$
$\displaystyle f).3x-1\ \textless \ 2 \\ 3x\ \textless \ 2+1 \\ 3x\ \textless \ 3 \\ x\ \textless \ \frac{3}{3} \\ x\ \textless \ 1$