Question

I just need the answer for this question.

Solve the inequality $4(a+6)\ge 5(a+3)$. Enter your answer as an inequality with just $a$ on the left side. For example, if the inequality in the problem were true for all negative $a$, then you'd enter "a<0" (without the quotation marks). If it were true for all $a$ greater than or equal to 3, then you'd enter "a>=3".

thank you!

Answer 1

a<=9

Explanation:

Answer 2

a<=9

Explanation:

Given inequality:

`4(a+6)\ge 5(a+3)`

Solving for
`a`

Using distribution.

`4a+24\ge 5a+15`

Subtracting
`4a` from both sides

`4a+24-4a\ge 5a+15-4a`

`24\ge a+15`

Subtracting 15 from both sides.

`24-15\ge a+15-15`

`9\ge a`

Swapping sides by reversing signs to get
`a` on left side

∴
`a\le 9`

So,
`a` is less than or equal to 9.

Answer : a<=9