The solution set for the inequality 13 x-5<15 x+4<7 x+12 ; x W is

Step-by-step solution

The inequality 13x - 5 First inequality: 13x - 5 -5 - 4 -9 x > -4.5 Second inequality: 15x + 4 15x - 7x 8x x Combining these, the solution set for x is -4.5 Since x W (the set of whole numbers, W = 0, 1, 2, 3, ), we look for integers in the interval (-4.5, 1) that are also whole numbers. The integers in the interval (-4.5, 1) are -4, -3, -2, -1, 0 . Among these, only 0 is a whole number. Therefore, the solution set is 0 . Answer: 0