# SOLUTION: 4X+7<5X-2<8X

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 Question 215617: 4X+7<5X-2<8XAnswer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!4x +7<5x-2<8x,,,,add 2 to each term . 4x +7 +2 < 5x-2+2 < 8x +2 . 4x +9<5x<8x+2,,,,,divide by 5 . (4x+9)/5 < 1x < (8x+2)/5,,,,, . or,,,,.8x +1.8<1x<1.6x +.4,,,, . solving using two problems,,,.8x +1.8<1x,,,subtract .8x . 1.8<.2x,,,,divide by .2 . 9<1x,,,,,answer . . or 1x<1.6x +.4,,,,,subtract 1.6x . -.6x < .4,,,,,,,divide by (-.6) and flip sign .,,,,1x>-.667,,,,,,,answer . . check,,,,,,,a,,,,-.667,,,,,b,,,,9,,,,,c . a, Let x= -1,,,,,,4(-1)+7<5(-1)-2<8(-1) ,,,,,,,,,-4 +7 <-5<-8 ,,,,,,,,3 <-5<-8,,,,,,not true . b,,,,let x= 0,,,,,7<-2<0,,,,,not true . c,,,,,let x =10,,,,4(10)+7<5(10)-2<8(10) . ,,,,,,,,,,,,,,47<48<80,,,,,,,ok . Therefore answer is 1x >9 .