Question

a) 5-x >o
b)-3x+13>13
c)|-4|x-16 <_0
d)√45-x√5>_0
e)-4x+11>0
f)√3x-√5>0

VA ROG MULT! E URGENTTTTTT!!!!!dar sa fie explicat nu doar raspunsul! Ms

Answer 1

a) 5-x >0
-x > -5
x < -5/-1
x < 5
x € (-∞;5)
S=(-∞;5)

b) -3x+13>13
-3x>13-13
-3x>0
x>0/-3
x>0
x € (0;+∞)
S=(0;+∞)

c) |-4|x-16≤0
4x≤16
x≤16/4
x≤4
x € (-∞;4]
S=(-∞;4]

d) √45-x√5≥0
3√5-x√5≥0
√5(3-x)≥0
3-x≥0/√5
3-x≥0
-x≥-3
x≤-3/-1
x≤3
x € (-∞; 3]
S=(-∞;3]

e)-4x+11>0
-4x>-11
x<-11/-4
x<11/4
x<2¾
x € (-∞;2¾)
S=(-∞;2¾)

f) √3x-√5>0
√3x>√5
x>√5/√3
x>√15/3
x € (√15/3; +∞)
S=(√15/3; +∞)

Answer 2

[tex]b) -3x+13 \ \textgreater \ 13|_{-13} \Rightarrow -3x \ \textgreater \ 0|_{\cdot (-1)} \Rightarrow 3x \ \textless \ 0|_{:3} \Rightarrow x\ \textless \ 0 \\\;\\ Deci,\ \ S = (-\infty,\ 0) [/tex]

d)

[tex]\sqrt{45} - x\sqrt5 \geq0|_{\sqrt5} \Rightarrow \sqrt9-x \geq 0 \Rightarrow 3\geq x \Rightarrow x \leq 3 \\\;\\ Deci, \ \ \ S = (-\infty,\ 3][/tex]