Question

QuestionSolve the inequality 13q <7q-29 and write the solution in fractions formats and interval notation.

Answer 1

To solve the inequality we subtract 7q from both sides of the inequality:

`\begin{gathered} 13q-7q<7q-29-7q, \\ 6q<-29. \end{gathered}`

Dividing by 6 we get:

`\begin{gathered} (6q)/(6)<-(29)/(6), \\ q<-(29)/(6)\text{.} \end{gathered}`

Answer:

`(-\infty,\text{ -}(29)/(6)).`