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3 years ago

3x + 1 < 10 M EXTD 11

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

Answer:

x < 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3x + 1 < 10

Step 2: Solve for x

Subtract 1 on both sides: 3x < 9
Divide 3 on both sides: x < 3

Here we see that any value x smaller than 3 would work as a solution to the inequality.

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Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.

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2 years ago

9:18 in the lowest term

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Work:

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3 years ago

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2 years ago

If the perimeter of this triangle is to be no more than 77 feet, write an inequality and

Sergio039 [100]

Given:

Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).

Perimeter of this triangle is to be no more than 77 feet.

To find:

The inequality and solution of the inequality.

Solution:

Perimeter of a triangle is the sum of all side.

Perimeter of given triangle $=(4x+10)+(2x-5)+18$

Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.

$(4x+10)+(2x-5)+18\leq 77$

$(4x+2x)+(10-5+18)\leq 77$

$6x+23\leq 77$

$6x\leq 77-23$

$6x\leq 54$

Divide both sides by 6.

$x\leq \dfrac{54}{6}$

$x\leq 9$

Therefore, the required inequality is $(4x+10)+(2x-5)+18\leq 77$ and the solution is $x\leq 9$ .

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3 years ago