Question

-3(2r-4) greater than or equal to 2 (5-3r)

Answer 1

\[\Large -3(2r-4)\ge2(5-3r) \]



\[\Large -6r+12\ge10-6r \]



\[\Large -6r\ge10-6r-12 \]



\[\Large -6r+6r\ge10-12 \]



\[\Large 0r\ge10-12 \]



\[\Large 0r\ge-2 \]



\[\Large 0\ge-2 \]
Since the last inequality is ALWAYS true, this means that there are an infinite number of solutions.

Answer 2

thanks.