Question

An error was made while solving the inequality -4(2x-3) > 5x-14. choose the step where the error was made A -8x+12>5x-14B -13x+12>-14C -13x > -26D x>2

Answer 1

`\begin{gathered} -4\mleft(2x-3\mright)>5x-14 \\ -8x+12>5x-14 \\ -8x+12-12>5x-14-12 \\ -8x>5x-26 \\ -8x-5x>5x-26-5x \\ -13x>-26 \\ \mleft(-13x\mright)\mleft(-1\mright)<\mleft(-26\mright)\mleft(-1\mright) \\ 13x<26 \\ (13x)/(13)<(26)/(13) \\ x<2 \end{gathered}`

answer is D