Finding the solution statements for the inequality
Which of the following is the solution statement for the inequality shown below
-5 < 1 - 3x < 10
G. -3 < x
K. x < -3 or x < 2
J. -2 < x < 3
H. −3 < x < 2
F. -5 < x < 10
In this Problem x is the unknown value to find.
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1 solution
First, to solve the inequality, we must approach it like a single variable equation and subtract the 1 from both sides of the expression
−5<1−3x<10
−6<−3x<9
Now, we must divide each side by -3. Remember, though, whenever we multiply or divide an inequality by a negative, the inequality signs REVERSE. So we will now get:
2>x>−3
And if we put it in proper order, we will have:
−3<x<2
Our final answer is H, −3<x<2