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25 votes
25 votes
HELP ASAP Graph the solution set of a/2+5>4. Show your work.

User Bcause
by
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2 Answers

9 votes
9 votes

Answer:

a>-2

Explanation:

a/2+5>4

-5 | -5

a/2>-1

*2 | *2

a>-2

User Lucas Tettamanti
by
2.6k points
21 votes
21 votes

Answer:


  • \boxed{\sf{a > -2}}

Explanation:

To solve this problem, isolate it on one side of the equation.

Given:

  • Isolate the term of a.

Solutions:

a/2+5>4

First, you subtract by 5 from both sides.


:\Longrightarrow \sf{(a)/(2)+5-5 > 4-5}

Solve.

4-5=-1


\Longrightarrow: \sf{(a)/(2) > -1}

Then, you multiply by 2 from both sides.


\Longrightarrow: \sf{(2a)/(2) > 2\left(-1\right)}

Solve.

Multiply these numbers goes from left to right.

2(-1)=-2


\Longrightarrow: \boxed{\sf{a > -2}}

  • Therefore, the solution is a>-2, which is the correct answer.

I hope this helps, let me know if you have any questions.

User Yamilette
by
2.3k points