What is (x-2)(1-5(x-1/5))<-5(x^2-2) ?

The solution to (x-2)(1-5(x-1/5))<-5(x^2-2) is x< 7/6

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(x-2)(1-5(x-1/5))<-5(x^2-2)

(x - 2) (1 - 5 (x - \frac{1}{5})) < - 5 (x^{2} - 2)

x < \frac{7}{6}

Interval Notation

(- \infty, \frac{7}{6})

Decimal Notation

x < 1.16666 \dots

Solution steps

(x - 2) (1 - 5 (x - \frac{1}{5})) < - 5 (x^{2} - 2)

Rewrite in standard form

6 x - 7 < 0

Move

7

to the right side

6 x < 7

Divide both sides by

6

x < \frac{7}{6}

(\frac{a}{b})^{- 1}

x^{2} = 225

- \frac{1}{2} - \frac{1}{1}

3 x - 2 > 7

∣ 2 x - 7 ∣ > - 3

What is (x-2)(1-5(x-1/5))<-5(x^2-2) ?
The solution to (x-2)(1-5(x-1/5))<-5(x^2-2) is x< 7/6