Question

Solve the inequality.


20 < k + 19

Answer 1

`\sf20 < k + 19`

Move the variable to the left-hand side and change its sign

`\sf20 - k < 19`

Move the constant to the right-hand side and change its sign

`\sf \: - k < 19 - 20`

Calculate the difference

`\sf \: - k < - 1`

Change the signs on both sides of the inequality and flip the inequality sign

`\boxed{ \tt \: k > 1}`

Answer 2

Simplify the inequality and solve.

• 20 < k + 19
• => 20 - 19 < k
• => 1 < k

The simplified inequality is 1 < k.