Answered

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 :

Answer:

a<=9

Step-by-step explanation:

Given inequality:

[tex]4(a+6)\ge 5(a+3)[/tex]

Solving for [tex]a[/tex]

Using distribution.

[tex]4a+24\ge 5a+15[/tex]

Subtracting [tex]4a[/tex] from both sides

[tex]4a+24-4a\ge 5a+15-4a[/tex]

[tex]24\ge a+15[/tex]

Subtracting 15 from both sides.

[tex]24-15\ge a+15-15[/tex]

[tex]9\ge a[/tex]

Swapping sides by reversing signs to get [tex]a[/tex] on left side

∴ [tex]a\le 9[/tex]

So, [tex]a[/tex] is less than or equal to 9.

Answer : a<=9

16kell12

Answer:

a<=9

Step-by-step explanation:

Other Questions