Solving the compound inequality 2x > -10 and 9x < 18 we get
-5 < X < 2 as our inequality.
Given,
2X > -10 and 9X < 18
we have to solve this inequality for X.
We need to make one inequality of X.
What is inequality?
There are 5 inequality signs.
Less than - <
Greater than - >
Less than and equal - ≤
Greater than and equal - ≥
Equal - =
We have,
2X > -10
We will solve for X.
2X > -10 can be written as X > -5.
Since,
2X > 2 x -5
X > -5______(1)
9X < 18
It can be written as X < 2.
Since,
9X < 9 x 2
X < 2 ________(2)
From (1) and (2)
X > -5 and X < 2
-5 < X < 2
We see that X can take values between -5 and 2.
Thus solving the compound inequality 2x > -10 and 9x < 18 we get
-5 < X < 2 as our inequality.
Learn more about inequality here:
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