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Resoudre une inequation

3x + 5 < 8

b. 15 < 7 - 2x

c. -3 + 5x < 7x

d. 4x - 8> 10x + 3


e. -X-6> 0

f. 4 <- 6x


Svppp

Sagot :

Bonsoir,

a. 3x + 5 < 8

3x< 8-5

3x < 3

3x : 3 < 3 : 3

x < 1

S=]-infini;1[

b. 15 < 7 - 2x

15 - 7 < 2x

8 < 2x

8 : 2 < 2x : 2

4 < x

S=]4;infini[

c. -3 + 5x < 7x

5x - 7x <  3

-2x < 3

-2x : -2 > 3 : 2

x > 3/2

S=] 3/2; infini[

d. 4x - 8 > 10x + 3

4x - 10x > 3 +8

-6x > 11

-6x : -6 < 11 : -6

x < -11/6

S=]-11/6;infini[

e. -x - 6 > 0

-x > 0 + 6

-x > 6

-1x : -1 < 6 : -1

x < -6

S=]-6;infini[

f. 4 < -6x

4 : -6 > -6x : -6

-4/6 > x

S=] -4/6;infini[

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