Question

Solve for the complete solution set of the following inequality.

Answer 1

`\x`

Step-by-step explanation:

Given the inequality:

`(11-6x)/(5)>10`

Step 1: Multiply both sides of the inequality by 5.

`\begin{gathered} (11-6x)/(5)*5>10*5 \\ 11-6x>50 \end{gathered}`

Step 2: Subtract 11 from both sides.

`\begin{gathered} 11-11-6x>50-11 \\ -6x>39 \end{gathered}`

Step 3: Divide both sides by -6. Reverse the inequality sign because we are dividing by a negative number.

`\begin{gathered} (-6x)/(-6)<(39)/(-6) \\ x<-(13)/(2) \end{gathered}`

The solution set of the inequality is therefore:

`\x<-(13)/(2)\`

The correct choice is B.