To solve this inequality, we can isolate the variable v by multiplying both sides by -2:
-v/2 <= 6.5
(-2)(-v/2) >= (-2)(6.5)
v >= -13
The solution to the inequality is v is greater than or equal to -13.
We can graph this solution on a number line:
-14 -13 -12 -11 -10 …
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We can check the solution by picking a value greater than -13, for example v = -10:
-(-10)/2 = 10/2 = 5
5 is not lesser or equal to 6.5, so v = -10 is not a solution.
We can also check a value equal to -13, for example v = -13:
-(-13)/2 = 13/2 = 6.5
6.5 is equal to 6.5, so v = -13 is a solution.
Therefore, the solution to the inequality is v >= -13.
Solve the following inequality. Graph and check your solution.
-v/2 <=6.5
1 answer