Respuesta :

3x − 2 > 5x + 10
3x - 5x > 10 + 2
-2x > 12
x< -6

The solution of inequality 3x − 2 > 5x + 10 is x < - 6.

What is inequality?

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given inequality as

3x − 2 > 5x + 10

Substract the 5x from both the sides,

3x - 5x > 10 + 2

Apply the arithmetic operations like wise term

- 2x > 12

Divided by 2 both the sides,

- x > 6

Multiply by (-) both the sides,

x < - 6

Hence, the solution of 3x − 2 > 5x + 10 is x < - 6.

Learn more about inequalities here:

brainly.com/question/20383699

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