# Step-by-step Solution

Go!
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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Step-by-step explanation

Problem to solve:

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

Learn how to solve inequalities problems step by step online.

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

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+1x+\frac{1}{4}.

$x\leq 2$

### Problem Analysis

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

Inequalities

~ 0.04 seconds