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Solve the inequality $4-x^2\geq x-2$

Step-by-step Solution

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Final Answer

$x\geq 2$
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Step-by-step Solution

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Grouping terms

$4-x^2-x\geq -2$

Learn how to solve inequalities problems step by step online.

$4-x^2-x\geq -2$

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Learn how to solve inequalities problems step by step online. Solve the inequality 4-x^2>=x-2. Grouping terms. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+xx+\frac{1}{4}.

Final Answer

$x\geq 2$

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Function Plot

Plotting: $x\geq 2$

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1
2
3
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
Dx
|◻|
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

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Main Topic: Inequalities

In mathematics, an inequation is a statement that an inequality holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.

Used Formulas

1. See formulas

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