Mister Exam

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log1/4(7-x)<-2 inequation

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log(1)             
------*(7 - x) < -2
  4

\frac{\log{\left(1 \right)}}{4} \left(7 - x\right) < -2

(log(1)/4)*(7 - x) < -2

Detail solution

Given the inequality:

\frac{\log{\left(1 \right)}}{4} \left(7 - x\right) < -2

To solve this inequality, we must first solve the corresponding equation:

\frac{\log{\left(1 \right)}}{4} \left(7 - x\right) = -2

Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example

x0 = 0

\frac{\log{\left(1 \right)}}{4} \left(7 - 0\right) < -2

0 < -2

but

0 > -2

so the inequality has no solutions

Rapid solution

This inequality has no solutions