An american motor company is releasing a new car model. there will be 2 body styles (2 or 4 door) from which to choose. they also offer 3 interior packages (deluxe, luxury, or special edition) and an option of 2 drive trains (front-wheel or four-wheel drive). if a local dealer wanted one of each possible model on her sales lot, how many cars would she need to order? she would need to order how many cars.

When can u say there is no solution for a system of linear inequalities? explain your answer and show with a system and graph

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?

Let u = {q, r, s, t, u, v, w, x, y, z} a = {q, s, u, w, y} b = {q, s, y, z} c = {v, w, x, y, z}. list the elements in the set.a ∩ (b ∪ c)a) {q, s, w, y}b) {q, y, z}c) {q, s, u, w, y, z}d) {q, r, w, y, z}