Answer:
1) x = 3
Solution:
[tex]2x=6\\\frac{2x}{2} =\frac{6}{2}\\x=3[/tex]
2) x = 3
Solution:
[tex]2x+2=8\\2x=8-2\\2x=6\\x=3[/tex]
3) x = 18
Solution:
[tex]\frac{x}{6} =3\\x=18[/tex]
4) x = 2
Solution:
[tex]3(x-2)=0\\3x-6=0\\3x=6\\x=2[/tex]
5) x = 4
Solution:
[tex]3+x=2x-1\\-2x+x=-1-3\\-x=-4\\x=4[/tex]
6) 1 < x < ∞
Solution:
[tex]5x>5\\\\5x=5\\x=1\\\\5(2)>5\\10>5[/tex]
7) 3 < x < - ∞
Solution:
[tex]3x-4<5\\\\3x-4=5\\3x=5+4\\3x=9\\x=3\\\\3(4)-4<5\\12-4<5\\8<5 [false]\\\\3(2)-4<5\\6-4<5\\2<5[true][/tex]
8) 13.5 < x < - ∞
Solution:
[tex]\frac{2x}{3} <9\\\\\frac{2x}{3} =9\\2x=27\\x=\frac{27}{2} =13.5\\\\\frac{2(14)}{3} <9\\\frac{28}{3}<9[false]\\\\\frac{2({13})}{3} <9\\\frac{26}{3}<9[true][/tex]
9) -3 < x < - ∞
Solution:
[tex]2(x+3)<0\\2(x+3)=0\\2x+6=0\\2x=-6\\x=-3\\\\2(-2+3)<0\\-4+6<0\\2<0[false]\\\\2(-4+3)<0\\-8+6<0\\-2<0[true][/tex]
10) 6 < x < ∞
Solution:
[tex]5+x<2x-1\\5+x=2x-1\\-2x+x=-1-5\\-x=-6\\x=6\\\\5+7<2(7)-1\\12<14-1\\12<13[true][/tex]
*Dami kong nipindot...
Sana makatulong!
\_(^_^)_/
