# Math Help - Inequalities

1. ## Inequalities

2. Originally Posted by tmac11522
subtract 1 from both sides and combine the resulting fractions on the left hand side of the inequality

you get $\frac {(7 + x)(7 - x)}{x(x - 1)} \ge 0$ .....................(1)

now, set the numerator and denominator to zero and solve for x in each case. plot your resulting solutions on a number line.

the next step is to plug in numbers in between your solutions, and the solutions that can work (the ones that make the denominator zero don't work!) to see what intervals satisfy the inequality in (1)

can you finish?

multiply LCD, x(x-1) to the whole thing, and get 48x-49(x-1)>=x(x-1)

4. mathhomework that's wrong since there's no knowledge that $x-1$ or $x$ are positive, negative, or one positive and the other negative.