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# Inequality

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Solve the inequality (-2x - 12)/2 > 7(3 - 4x).

Apr 14, 2022

#1
+579
+1

$$\frac{\left(-2x-12\right)}{2}>7\left(3-4x\right)$$

$$\mathrm{Multiply\:both\:sides\:by\:}2$$

$$\frac{-2x-12}{2}\cdot \:2>7\left(3-4x\right)\cdot \:2$$

$$-2x-12>14\left(3-4x\right)$$

$$-2x-12>42-56x$$

$$\mathrm{Add\:}12\mathrm{\:to\:both\:sides}$$

$$-2x-12+12>42-56x+12$$

$$Simplify$$

$$-2x>-56x+54$$

$$\mathrm{Add\:}56x\mathrm{\:to\:both\:sides}$$

$$-2x+56x>-56x+54+56x$$

$$Simplify$$

$$54x>54$$

$$\mathrm{Divide\:both\:sides\:by\:}54$$

$$\frac{54x}{54}>\frac{54}{54}$$

$$Simplify$$

$$x>1$$

-Vinculum

Apr 14, 2022

#1
+579
+1

$$\frac{\left(-2x-12\right)}{2}>7\left(3-4x\right)$$

$$\mathrm{Multiply\:both\:sides\:by\:}2$$

$$\frac{-2x-12}{2}\cdot \:2>7\left(3-4x\right)\cdot \:2$$

$$-2x-12>14\left(3-4x\right)$$

$$-2x-12>42-56x$$

$$\mathrm{Add\:}12\mathrm{\:to\:both\:sides}$$

$$-2x-12+12>42-56x+12$$

$$Simplify$$

$$-2x>-56x+54$$

$$\mathrm{Add\:}56x\mathrm{\:to\:both\:sides}$$

$$-2x+56x>-56x+54+56x$$

$$Simplify$$

$$54x>54$$

$$\mathrm{Divide\:both\:sides\:by\:}54$$

$$\frac{54x}{54}>\frac{54}{54}$$

$$Simplify$$

$$x>1$$

-Vinculum

Vinculum Apr 14, 2022
#2
+115
-2

I believe that right

Apr 14, 2022