Solve the inequality $\left(x-4\right)\left(x+5\right)<\left(x-3\right)\left(x-2\right)$

Step-by-step Solution

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Final answer to the problem

$x<\frac{13}{3}$
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Step-by-step Solution

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1

Multiply the single term $x+5$ by each term of the polynomial $\left(x-4\right)$

$x\left(x+5\right)-4\left(x+5\right)<\left(x-3\right)\left(x-2\right)$

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$x\left(x+5\right)-4\left(x+5\right)<\left(x-3\right)\left(x-2\right)$

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Learn how to solve problems step by step online. Solve the inequality (x-4)(x+5)<(x-3)(x-2). Multiply the single term x+5 by each term of the polynomial \left(x-4\right). Multiply the single term x by each term of the polynomial \left(x+5\right). When multiplying two powers that have the same base (x), you can add the exponents. Multiply the single term -4 by each term of the polynomial \left(x+5\right).

Final answer to the problem

$x<\frac{13}{3}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $x<\frac{13}{3}$

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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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