Question

Rezolvați următoarele inecuații reductibile la inecuații de forma ax +b ≥ 0(≤0,>0,<0):
a)2x+37<21

b)-3x+5<2x-5

c)-5-7x≤-103

d)-x-4≤3x+5

e)-17x+251>-38

f)-4x-2>2(x-1)

g)3(2x+1)≥2(3x-1)

h)-4x≥2(4-x)+3(x+1)​

Answer 1

Ca sa rezolvam inecuatiile trebuie sa "izolam" necunoscuta x

a)2x+37<21

2x+37-21<0

2x+16<0

2x<-16

x<-8

b)-3x+5<2x-5

-3x-2x+5+5<0

-5x+10<0

-5x<-10

x>2

c)-5-7x≤-103

-7x-5+103≤0

-7x+98≤0

x≥7

d)-x-4≤3x+5

-x-3x-4-5≤0

-4x-9≤0

-4x≤9

x≥$-\frac{9}{4}$

e)-17x+251>-38

-17x+251+38>0

-17x+289>0

x<17

f)-4x-2>2(x-1)

-4x-2-2x+2>0

-6x>0

x<0

g)3(2x+1)≥2(3x-1)

6x+3≥6x-2

6x-6x+3+2≥0

5≥0

h)-4x≥2(4-x)+3(x+1)​

-4x≥8-2x+3x+3

-4x+2x-3x-8-3≥0

-5x-11≥0

$x\leq - \frac{11}{5}$

Un alt exercitiu gasesti aici: https://brainly.ro/tema/827393

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