solve -2a-5>3. which graph shows the solutions?

Answer:
see explanation
Step-by-step explanation:
Given
- 2a - 5 > 3 ( add 5 to both sides )
- 2a > 8
Divide both sides by - 2, reversing the direction of the inequality sign as a consequence of dividing by a negative quantity
a < - 4
Since a is less than we require an open circle at - 4 on the number line.
Since less than the arrow head is pointing to the left, that is
Graph A, the top graph illustrates the solution
The solution to the inequality is -2a-5>3 is a < -4
The graph that represents the solution has been attached
The given inequality is:
-2a - 5 > 3
Add 5 to both sides of the inequality
-2a - 5 + 5 > 3 + 5
-2a > 8
Divide both sides by 2
[tex]\frac{-2a}{2} > \frac{8}{2} \\\\-a > 4[/tex]
Multiply both sides by -1 and change the inequality sign from > to <
-1(-a) < -1(4)
a < -4
The graph that shows the solution of the inequality is attached below
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