Question

$$2x+3 \leq 5x+7$$

Answer

x>=-4/3

Solution


Subtract \(2x\) from both sides.
\[3\le 5x+7-2x\]
Simplify  \(5x+7-2x\)  to  \(3x+7\).
\[3\le 3x+7\]
Subtract \(7\) from both sides.
\[3-7\le 3x\]
Simplify  \(3-7\)  to  \(-4\).
\[-4\le 3x\]
Divide both sides by \(3\).
\[-\frac{4}{3}\le x\]
Switch sides.
\[x\ge -\frac{4}{3}\]

Decimal Form: -1.333333