Question

How do you solve `5f - 2( f + 2) \geq - ( 2f + 19)`?

Answer 1

`f\ge -3`

Explanation:

`5f - 2(f + 2)\ge - (2f +19)`

Distribute the -2 throughout the first set of parenthesis and the -1 throughout the second set of negative parenthesis
`5f - 2f -4\ge -2f -19`

Combine like terms on the left of the inequality
`3f - 4\ge -2f -19`

Add 4 on both sides of the inequality
`3f\ge -2f -15`

Add 2f on both sides of the inequality
`5f\ge-15`

Isolate the variable by dividing both sides by 5
`f\ge -3`