Solve the inequality x-11/3>3x-14/3

x-\frac{1}{3}>3x-\frac{4}{3}

Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

$x<\frac{1}{2}$

Step by step solution

Problem

$x-\frac{1}{3}>3x-\frac{4}{3}$
1

Multiply $-1$ times $\frac{1}{3}$

$x-\frac{1}{3}>3x-\frac{4}{3}$
2

Grouping terms

$-3x-\frac{1}{3}+x>-\frac{4}{3}$
3

Adding $-3x$ and $x$

$-2x-\frac{1}{3}>-\frac{4}{3}$
4

Moving the term $-\frac{1}{3}$ to the other side of the inequation with opposite sign

$-2x>\frac{1}{3}-\frac{4}{3}$
5

Subtract the values $\frac{1}{3}$ and $-\frac{4}{3}$

$-2x>-1$
6

Multiply both sides of the inequality by $-1$, reversing the sign

$2x<1$
7

Divide both sides of the inequation by $2$

$x<\frac{1}{2}$

$x<\frac{1}{2}$

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!

Inequalities

0.27 seconds

124