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Solve the inequality $\sqrt{y^2-9}\leq 5$

Step-by-step Solution

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Final Answer

$y\leq 5.830952$
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Step-by-step Solution

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1

Removing the variable's exponent

$\left(\sqrt{y^2-9}\right)^{\frac{1}{\frac{1}{2}}}\leq 5^{\frac{1}{\frac{1}{2}}}$

Learn how to solve inequalities problems step by step online.

$\left(\sqrt{y^2-9}\right)^{\frac{1}{\frac{1}{2}}}\leq 5^{\frac{1}{\frac{1}{2}}}$

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Unlock the first 2 steps of this solution.

Learn how to solve inequalities problems step by step online. Solve the inequality (y^2-9)^1/2<=5. Removing the variable's exponent. Divide 1 by \frac{1}{2}. Divide 1 by \frac{1}{2}. Calculate the power 5^{2}.

Final Answer

$y\leq 5.830952$

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Function Plot

Plotting: $y\leq 5.830952$

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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.

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