+394 Solve the inequality. Give the solution set in both interval and graph forms.
StartFraction 2 k minus 5 Over negative 6 EndFraction greater than 52k−5−6 > 5
2k - 5 > 5
-6
(I have (- , - 25)
2
( symbol shaped like an eight goes before the ,-
The solution set in interval notation is _________.
(Type your answer in interval notation. Simplify your answer. Use integers or decimals for any numbers in the expression.)
+9466 (2k - 5) / (-6) > 5
Multiply both sides of the inequality by -6 .
Since we are multiplying by a negative, also flip the inequality sign .
2k - 5 < 5 * -6
2k - 5 < -30
Add 5 to both sides.
2k < -30 + 5
2k < -25
Divide both sides by 2 . (2 is positive, so the sign stays the same.)
k < -25 / 2
In interval notation, the solution set should be: (-∞, -25/2)
Ah! Now I see what is "wrong" with your answer....
"Use integers or decimals for any numbers in the expression."
So just turn -25/2 into -12.5 and we have... (-∞, -12.5)
And the number line looks roughly like this
+9466 (2k - 5) / (-6) > 5
Multiply both sides of the inequality by -6 .
Since we are multiplying by a negative, also flip the inequality sign .
2k - 5 < 5 * -6
2k - 5 < -30
Add 5 to both sides.
2k < -30 + 5
2k < -25
Divide both sides by 2 . (2 is positive, so the sign stays the same.)
k < -25 / 2
In interval notation, the solution set should be: (-∞, -25/2)
Ah! Now I see what is "wrong" with your answer....
"Use integers or decimals for any numbers in the expression."
So just turn -25/2 into -12.5 and we have... (-∞, -12.5)
And the number line looks roughly like this
