Răspuns:
a ) x < 16
b ) [tex]x < \frac{19}{20}[/tex]
c ) x < 7
d ) x [tex]\leq[/tex] - 12
e ) [tex]x \geq \frac{12}{13}[/tex]
f ) x [tex]\geq[/tex] 5
Explicație pas cu pas:
a ) 7x - 10 + 2(x - 7 ) < 8(x - 1 )
7x - 10 + 2x - 14 < 8x - 8
9x - 8x < 8x + 24
x < - 8 + 24
x < 16
b ) 2( x +5 ) -6(2x + 1)>10x - 15
2x + 10 - 12x - 6 > 10x - 15
-10x + 10 - 6 > 10x - 15
-10x + 4 > 10x -15
-10x - 10x + 4 > -15
-10x - 10x > -15 - 4
-20x > -15 - 4
-20x > -19
[tex]x < \frac{19}{20}[/tex]
c ) 2( 2x + 3 ) + 2(3x + 2 ) <9x + 34
6x + 9 + 6x + 4 < 9x + 34
12x + 9 + 4 < 9x + 34
12x + 13 < 9x + 34
12x - 9x + 13 < 34
12x - 9x < 34 - 13
3x < 21
x < 7
d ) 5 ( x- 3 ) - 2( x - 1) + 3x [tex]\geq[/tex] - 1 + 7x
5x - 15 - 2x + 2 + 3x [tex]\geq[/tex] - 1 + 7x
6x - 13 [tex]\geq[/tex] - 1 + 7x
6x - 7x [tex]\geq[/tex] - 1 + 13
-x [tex]\geq[/tex] 12
x [tex]\leq[/tex] - 12
e ) - 3x + 8 + 6( -x + 2 ) [tex]\leq[/tex] 4x
- 3x - 6x + 12 [tex]\leq[/tex] 4x
- 9x + 12 [tex]\leq[/tex] 4x
-13x [tex]\leq[/tex] - 12
[tex]x \geq \frac{12}{13}[/tex]
f ) 4x - 2(2x + 3 ) [tex]\geq[/tex] 36 - 6(x + 2)
4x -4x -6 [tex]\geq[/tex] 36 - 6x - 12
-6 [tex]\geq[/tex] 24 - 6x
6x [tex]\geq[/tex] 24 + 6
6x [tex]\geq[/tex] 30
x [tex]\geq[/tex] 5
Sper că te-am ajutat!
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