Question

How do you solve the two step inequality `5/6 v+7<=-3`?

Answer 1

`v<= -12`

Explanation:

You treat this the way you do any algebra manipulation. One trap you have to watch for though is that it is imperative you keep in mind that 'the v part' is less than. This can catch you out when multiplying by (-1). We are not doing so in this problem!

Given: `6/6v+7<= -3`

Subtract 7 from both sides giving:

`5/6v +(7-7)<=-3-7`

`5/6v<=-10`

Multiply both sides by 6

`6/6xx5v<=(-10)xx6`

`5v=-60`

Divide both sides by 5

`5/5v<=(-60)/5`

`v<= -12`