Question

Solve for a
|6a + 3|
3
> 2

Answer 1

Answer:a>
`-(7)/(18)`

Explanation:

(6a+3)3>2

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

`6a+3 > (2)/(3)`

Subtract 3 from both sides.

`6a > (2)/(3) -3`

Convert 3 to fraction
`(9)/(3)`

`6a > (2)/(3) -(9)/(3)`

Since
`(2)/(3) (9)/(3)`have the same denominator, subtract them by subtracting their numerators.

`6a > (2-9)/(3)`

Subtract 9 from 2 to get −7.

`6a > -(7)/(3)`

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

`a > (-(7)/(3) )/(6)`

Express
`a > -(7)/(3(6)/(1) )` and 6/1=6 as a single fraction.

`a > (-7)/(3*6)`

Multiply 3 and 6 to get 18.

`a > (-7)/(18)`

Fraction
`(-7)/(18)` can be rewritten as

`-(7)/(18)`

by extracting the negative sign.

`a > -(7)/(18)`

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