Solve 2[2(2020)-13(n-1)]<0

$$2 [ 2 ( 2020 ) - 13 ( n - 1 ) ] < 0$$

Solve for n

$$n>\frac{4053}{13}$$

Solution Steps

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same. Zero divided by any non-zero number gives zero.

$$2\times 2020-13\left(n-1\right)<0$$

Multiply 2 and 2020 to get 4040.

$$4040-13\left(n-1\right)<0$$

Use the distributive property to multiply -13 by n-1.

$$4040-13n+13<0$$

Add 4040 and 13 to get 4053.

$$4053-13n<0$$

Subtract 4053 from both sides. Anything subtracted from zero gives its negation.

$$-13n<-4053$$

Divide both sides by -13. Since -13 is negative, the inequality direction is changed.

$$n>\frac{-4053}{-13}$$

Fraction \frac{-4053}{-13} can be simplified to \frac{4053}{13} by removing the negative sign from both the numerator and the denominator.

$$n>\frac{4053}{13}$$