Respuesta :
Answer:
Part 1) Option A [tex]x>-4[/tex]
Part 2) Option D [tex]x<3[/tex]
Part 3) [tex]y < 1.1[/tex]
Part 4) [tex]x<-8/15[/tex]
Part 5) [tex]x>-1[/tex]
Step-by-step explanation:
Part 1) we have
[tex]6x-5>-29[/tex]
[tex]6x>-29+5[/tex]
[tex]x>-24/6[/tex]
[tex]x>-4[/tex]
Part 2) we have
[tex]-4x-8>-20[/tex]
[tex]-4x>-20+8[/tex]
[tex]-4x>-12[/tex] -----> Multiply by [tex]-1[/tex] both sides
[tex]4x<12[/tex]
[tex]x<12/4[/tex]
[tex]x<3[/tex]
Part 3) we have
[tex]-4.2y+2.1 >-2.52[/tex]
[tex]-4.2y >-2.52-2.1[/tex]
[tex]-4.2y >-4.62[/tex] ----> Multiply by [tex]-1[/tex] both sides
[tex]4.2y < 4.62[/tex]
[tex]y < 1.1[/tex]
Part 4) we have
[tex]-(1/2)x+(1/3)>3/5[/tex]
[tex]-1/2x>(3/5)-(1/3)[/tex]
[tex]-1/2x>4/15[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]1/2x<-4/15[/tex]
[tex]x<-8/15[/tex]
Part 5) we have
[tex]-2.8x+5.6< 8.4[/tex]
[tex]-2.8x< 8.4-5.6[/tex]
[tex]-2.8x< 2.8[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]2.8x>-2.8[/tex]
[tex]x>-2.8/2.8[/tex]
[tex]x>-1[/tex]