How do you solve this inequality

Answer:w < 0 ∪ 9 < wStep-by-step explanation:You can multiply by w to eliminate the fractions. This gives rise to two cases, one for w > 0, and one for w < 0.For w > 0In this case, the multiplier is positive, so the sense of the inequality remains unchanged. The inequality becomes ...... 2 +3w > 29... 3w > 27 . . . . subtract 2... w > 9 . . . . . . divide by 3 (again, a positive number)For w < 0Multiplying an inequality by a negative number reverses the sense of the comparison. This gives us ...... 2 +3w < 29... 3w < 27 . . . . . . subtract 2... w < 9 . . . . . . . . divide by 3 (a positive number)The solution to this inequality is the intersection of this condition with the condition that w < 0. That will be ...... w < 0SolutionSo, the solution to the given inequality is ...... w < 0 ∪ 9 < w_____Comment on the graphWe have rewritten the inequality to the form ...... 2/w +3 -29/w > 0 . . . . . . subtract the right sideThe graphing calculator has plotted the curve represented by the left side of this inequality. The blue highlighting shows where that is greater than zero.