Question

What is the solution to the inequality -4x<20

Answer 1

`\large\boldsymbol{\rm{Inequalities}}`

`\bf{Intro}`

Do you remember the process for solving an equation? We isolated the variable to find its value. Well we do the same thing for an inequality. The only difference is that the two sides of an inequality are not equal, as was the case for an equation. Here, one side is less/greater than (or equal to) the other one.

In order to solve the equation
`\sf{-4x < 20}`, we divide each side by -4:

`\sf{x > -5}`

Note: When multiplying/dividing both sides by a negative number, reverse the inequality sign.

✦ Therefore, x > -5.