Solve the compound Inequalities, graph the solutions and write the solutions in interval notation4x - 3 \leqslant 13 \: and \: - x - 5 \ \textless \ - 5

Question

solve the compound Inequalities, graph the solutions and write the solutions in interval notation
`4x - 3 \leqslant 13 \: and \: - x - 5 \ \textless \ - 5`

Answer 1

Answer:

The solution is:

From (2), we have:

`x>-10\ldots\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots\text{.}(3)`

Using this (1)

`\begin{gathered} 4x\le16 \\ \\ x\le(16)/(4)=4\ldots\ldots\ldots\ldots.......\ldots\ldots\ldots\ldots\ldots\ldots\ldots..(4) \end{gathered}`

The solution now is:

[tex]-10