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2 years ago

Find the solution set to the inequality. 4x - 1 < 11

Mathematics

2 answers:

Lemur [1.5K]2 years ago

4 0

4x - 1 < 11
Add 1 to both sides
4x < 12
Divide both sides by 4
x < 3
x is less than 3

BartSMP [9]2 years ago

4 0

Answer:

x < 3

Step-by-step explanation:

Isolate the variable, x. Treat the < sign as an equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 1 to both sides of the equation:

4x - 1 (+1) < 11 (+1)

4x < 11 + 1

4x < 12

Next, divide 4 from both sides of the equation:

(4x)/4 < (12)/4

x < 12/4

x < 3

x < 3 is your answer.

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The required solution is (5.75,-0.5). It can be written as $(\frac{11}{4},-\frac{1}{2})$ .

Step-by-step explanation:

The given equations are

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$x+\frac{3}{2}y=5$ .... (2)

Multiply the equation (2) by 2.

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Subtract equation (1) from equation (3).

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Therefore the required solution is (5.75,-0.5). It can be written as $(\frac{11}{4},-\frac{1}{2})$ .

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