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You haven't actually stated an inequality. You could have said x<b or x>b or a number of other things, but x b doesn't tell us anything.
Let us say, the inequality is x<b. So x is less than b. If b is negative, then x is also negative, and to an even larger extent; for example, if b = -6, x could equal -7. Minus 7 is one less than minus 6.
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Is -3.5 is a solution for inequality x-6?
No, because x-6 is an expression: it is not an inequality.
Is -4 the solution of the inequality x - 4?
-8
Is 2 a solution to the inequality x 3?
Yes, It is a solution (a+)
How does the solution to an inequality differ from the solution to an equation?
The solution to an inequality generally is a region with one more dimension. If the inequality/equation is of the form x < a or x = a then the solution to the inequality is the 1 dimensional line segment while the solution to the equality is a point which has no dimensions. If the inequality/equation is in 2 dimensions, the solution to the inequality is an area whereas the solution to the equality is a 1-d line or curve. And so on, in higher dimensional spaces.
How do you solve an inequality if you are left with a negative variable?
In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)
