Question

Which of the following are the solutions to |5x + 2|=8

Answer 1

Hi there!

| 5x +
`2` | = 8

• Absolute Value :-

The Absolute Value or Modulus | X | of a real number x is the non-negative value of x without regard to its sign.

Which makes the above Eqn's right hand side + ve in both cases.

Then,
Isolatin' the Absolute Value :-

→ For + ve value :

=> 5x + 2 = 8

=> 5x = 8 - 2

=> 5x = 6

=> x =
`\frac {6}{5}`

→ For - ve value :

=> 5x + 2 = -8

=> 5x = - 8 - 2

=> 5x = - 10

=> x =
`\frac {- 10}{5}` = -2

Hence,
Solution for the Eqn. are :-

=> x = -2 Or => x =
`\frac {6}{5}`

~ Hope it helps!

Answer 2

Hi there!

Let's solve this equation step by step!

`|5x + 2| = 8`

First work out the absolute value, which makes everything between the stripes positive. When we have a negative outcome between the stripes (for instance -8), the stripes make it positive. When we work out the absolute value, we mustn't forget this solution.


`5x + 2 = 8 \: \: or \: \: 5x + 2 = - 8`
Subtract 2


`5x = 6 \: \: or \: \: 5x = - 10`
Divide both sides by 5.


`x = ( 6)/(5) = 1 (1)/(5)\: \: or \: \: x = -2`
~ Hope this helps you!