Question

$$\frac{ 1 }{ 4 } x+6 < 5$$

Answer

x&lt;-4

Solution


Simplify  \(\frac{1}{4}x\)  to  \(\frac{x}{4}\).
\[\frac{x}{4}+6<5\]
Subtract \(6\) from both sides.
\[\frac{x}{4}<5-6\]
Simplify  \(5-6\)  to  \(-1\).
\[\frac{x}{4}<-1\]
Multiply both sides by \(4\).
\[x<-1\times 4\]
Simplify  \(1\times 4\)  to  \(4\).
\[x<-4\]