Find the Inequality
x is less than ten
x < 10
x<-1
See Board
1<x
(-∞,1)
x - 10 > 4
x > 14
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4<x<10
twelve more than x is greater than nine
x + 12 > 9
[5,15)
See Board
2<x<=5
(2,5]
2x + 20 < 0
x < -10
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x<-1 OR x>=9
OR
x<-1 U x>=9
five less than the product of three and x is less than or equal to one
3x - 5 <= 1
x<5 OR x>2
All Real Numbers
x<3 AND x<5
(-∞,3)
3(7 - x) < 18 - 3x
3 < 0: No Solutions
(-3,-1)
-3<x<-1
one less than zero is greater than the product of two and the sum of one and x
0 - 1 > 2(1 + x)
OR
-1 > 2(1 + x)
x<-3 AND x>3
x<3 OR x<5
(-∞,5)
2x + 5 < 2(x+5) - 4
5 < 6: All Real Numbers
[-10,∞)U(-∞,-9)
-10<=x<9
21 more than the product of x and one-half is less than or equal to the quotient of the sum of 2 and 6 and 5.
x*1/2 + 21 <= (2+6)/5
OR
x/2 + 21 <= (2+6)/5
10<x<=10
No solutions (Why?)
x<-1 OR x>0
(-∞,-1)U(0,∞). Everything except [-1,0]
3(x/4 + 9) - 4 > x - x/2(3 - 1)^2
x > -92/7
(-500,15]∩[15,29]
x=15 (Why?)