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Mathematics
3 x + 11 < 10 ( x 1 ) 3x+11 < 10(x-1)
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Best Answer
The solution to the inequality is:
x < 9 / 7 x < 9//7
To solve this inequality, we can use the following steps:
Distribute the 10 on the right side:
3 x + 11 < 10 x 10 3x+11 < 10 x-10
Subtract 3x from both sides:
11 < 7 x 10 11 < 7x-10
Add 10 to both sides:
21 < 7 x 21 < 7x
Divide both sides by 7, remembering to flip the inequality:
3 < x 3 < x
or, equivalently:
x > 3 x > 3
Therefore, the solution to the inequality is:
3 < x < 9 7 3 < x < (9)/(7)
or, in interval notation:
( 3 , 9 7 ) (3,(9)/(7)).
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