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;

$-5Separate and simplify the compound inequality;[tex]\begin{gathered} -5-4 \end{gathered}$

Also;

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

Thus, the solutions are;

$x>-4,x<6$

Merge the inequalities;

$-4ANSWER:[tex]-4\lt x\lt6$