Question

Solve the inequalities5. 5 > |x - 1|

Answer 1

Solution (5):

Given;

`5>|x-1|`

Switch sides;

`|x-1|<5`

Now, we can apply the absolute rules;

`-5<strong>Separate and simplify the compound inequality;</strong>[tex]\begin{gathered} -5-4 \end{gathered}`

Also;

`\begin{gathered} x-1<5 \\ \\ x<5+1 \\ \\ x<6 \end{gathered}`

Thus, the solutions are;

`x>-4,x<6`

Merge the inequalities;

`-4<strong>ANSWER:</strong>[tex]-4\lt x\lt6`