Question
Solve the following inequalities and represent the solution on a number line:
$\frac{2 x+5}{4}>\frac{4-3 x}{6}$
$\frac{2 x+5}{4}>\frac{4-3 x}{6}$
✓
Answer
The given inequality is
⇒ 6(2x + 5) > 4(4 - 3x)
⇒ 12x + 30 > 16 - 12x
⇒ 12x + 12x > 16 - 30
⇒ 24x > -14
$\Rightarrow x>-\frac{14}{24}$
x > -7/12.
The graph of solution is x > -7/12
⇒ 6(2x + 5) > 4(4 - 3x)
⇒ 12x + 30 > 16 - 12x
⇒ 12x + 12x > 16 - 30
⇒ 24x > -14
$\Rightarrow x>-\frac{14}{24}$
x > -7/12.
The graph of solution is x > -7/12
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