Solve the following equations and inequalities a)\(\displaystyle-{x}^{{2}}+{2}{x}{>}{1}\) b)\(\displaystyle{\left|{1}-{3}{x}\right|}={5}\) c)

Javion Kerr

Javion Kerr

Answered question

2022-03-20

Solve the following equations and inequalities
a)x2+2x>1
b)|13x|=5
c)|4x3|2

Answer & Explanation

Cody Johns

Cody Johns

Beginner2022-03-21Added 8 answers

1)x2+2x>1
x2+2x1>0
(x22x+1)>0
(x1)2>0
(x1)2<0 which is not true for any xR. Thus, there is no solution
2)|13x|=5
13x=5 and 13x=5
3x=51 or 3x=51
3x=4 or 3x=6
x=43 or x=63
x=43 or x=2
Wilson Rivas

Wilson Rivas

Beginner2022-03-22Added 12 answers

c)|4x3|2
24x32
4x32 or 4x32
4x2+3 or 4x2+3
4x1 or 4x5
x14 or x54
14x54

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