1Select all the correct locations on the tables.Andrew wants to purchase a new television with a screen length that is five times its width. The width of the television screen is 7 inches more than the width of his tablet. Andrew also wants the area of the new television screen to be at least 1,050 square inches.If x is the width of Andrew's tablet, determine which inequality could represent this situation. Then, determine if 8 inches is a reasonable width for his tablet.

Answer:Part 1) The inequality that represent this situation is [tex]5(x+7)^{2} \geq1,050[/tex]  or  [tex]5x^{2}+70x+245 \geq1,050[/tex]Part 2) Yes, 8 inches is a reasonable width for his tabletStep-by-step explanation:Part 1)LetL -----> the length of the screen televisionW ----> the width of the screen televisionx ---->  the width of Andrew's tabletwe know that[tex]L=5W[/tex] ------> equation A[tex]W=x+7[/tex] ----> equation BThe area of the television is[tex]A=LW[/tex] -----> equation CSubstitute equation A and equation B in equation C[tex]A=5(x+7)(x+7)[/tex] [tex]A=5(x+7)^{2}[/tex][tex]5(x+7)^{2} \geq1,050[/tex] [tex]5(x^{2}+14x+49) \geq1,050[/tex] [tex]5x^{2}+70x+245 \geq1,050[/tex] ------> inequality that represent this situationPart 2) Determine if 8 inches is a reasonable width for his tabletFor x=8 inSubstitute in the inequality[tex]5(8+7)^{2} \geq1,050[/tex][tex]5(15)^{2} \geq1,050[/tex][tex]1,125 \geq1,050[/tex] -----> is truethereforeYes, 8 inches is a reasonable width for his tablet