Asked by hello fart
18) Solve the inequality: −
2
5
x − 9 <
1
2
2
5
x − 9 <
1
2
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve the inequality, we need to isolate the variable on one side of the inequality sign.
Starting with the given inequality:
-2/5x - 9 < 1/2
First, let's add 9 to both sides to get rid of the negative 9:
-2/5x < 1/2 + 9
Simplifying the right side:
-2/5x < 19/2
To get rid of the fraction, we can multiply both sides of the inequality by the reciprocal of -2/5, which is -5/2:
(-5/2)(-2/5)x > (19/2)(-5/2)
Simplifying both sides:
x > -95/4
So, the solution to the inequality is x > -95/4.
Starting with the given inequality:
-2/5x - 9 < 1/2
First, let's add 9 to both sides to get rid of the negative 9:
-2/5x < 1/2 + 9
Simplifying the right side:
-2/5x < 19/2
To get rid of the fraction, we can multiply both sides of the inequality by the reciprocal of -2/5, which is -5/2:
(-5/2)(-2/5)x > (19/2)(-5/2)
Simplifying both sides:
x > -95/4
So, the solution to the inequality is x > -95/4.
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