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Solve the inequality $\frac{x-2}{x-a}\leq 2x-1$

Step-by-step Solution

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Solution

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Final answer to the problem

$x\leq 2x^2-2ax-x+a+2$
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Step-by-step Solution

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Learn how to solve two-variable linear inequalities problems step by step online. Solve the inequality (x-2)/(x-a)<=2x-1. Moving the denominator multiplying to the other side of the inequation. Moving the term -2 to the other side of the inequation with opposite sign. Multiply the single term x-a by each term of the polynomial \left(2x-1\right). Simplify the product -(x-a).

Final answer to the problem

$x\leq 2x^2-2ax-x+a+2$

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Function Plot

Plotting: $x\leq 2x^2-2ax-x+a+2$

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1
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4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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Main Topic: Two-variable linear inequalities

Algebraic inequalities that have two distinct variables.

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