Question

$$\frac{ 2x+13 }{ 7 } < 4x+1$$

Answer

x&gt;3/13

Solution


Multiply both sides by \(7\).
\[2x+13<28x+7\]
Subtract \(2x\) from both sides.
\[13<28x+7-2x\]
Simplify  \(28x+7-2x\)  to  \(26x+7\).
\[13<26x+7\]
Subtract \(7\) from both sides.
\[13-7<26x\]
Simplify  \(13-7\)  to  \(6\).
\[6<26x\]
Divide both sides by \(26\).
\[\frac{6}{26}<x\]
Simplify  \(\frac{6}{26}\)  to  \(\frac{3}{13}\).
\[\frac{3}{13}<x\]
Switch sides.
\[x>\frac{3}{13}\]

Decimal Form: 0.230769