Solve (x-1)0.3010<8

$$(x-1)0.3010 < 8$$

Solve for x

$$x<\frac{8301}{301}$$

Solution Steps

Divide both sides by 0.301. Since 0.301 is positive, the inequality direction remains the same.

$$x-1<\frac{8}{0.301}$$

Expand \frac{8}{0.301} by multiplying both numerator and the denominator by 1000.

$$x-1<\frac{8000}{301}$$

Add 1 to both sides.

$$x<\frac{8000}{301}+1$$

Convert 1 to fraction \frac{301}{301}.

$$x<\frac{8000}{301}+\frac{301}{301}$$

Since \frac{8000}{301} and \frac{301}{301} have the same denominator, add them by adding their numerators.

$$x<\frac{8000+301}{301}$$

Add 8000 and 301 to get 8301.

$$x<\frac{8301}{301}$$