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2 years ago

Solve -5<4x+3<_<7 Not really sure how to solve, line under greater than sign

Mathematics

1 answer:

natta225 [31]2 years ago

6 0

The solution to the complex inequality as in the task content is; -2 < x <= 1.

<h3>What is the solution of the inequality?</h3>

The inequality in discuss is; -5<4x+3 <= 7.

Hence, solving the inequalities separately; we have;

-5 < 4x +3

-8 < 4x

-2 < x

Also; 4x+3 <= 7

4x <= 4

x <= 1.

Ultimately, the solution to the inequalities is;

-2 < x <= 1.

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Answer:

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Answer:

66 pieces of candy.

Step-by-step explanation:

First I set up the equation: (c/6)-4 = 7

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6 represent when she split the candy

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7 is the number of pieces she has left

after setting up the equation, you want to add four to the other side to get 11

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3 years ago

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Find the distance between the points (4,-8) and (7-10).

Anastaziya [24]

Answer:

$\displaystyle d = \sqrt{13}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (4, -8)

Point (7, -10)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [DF]: $\displaystyle d = \sqrt{(7-4)^2+(-10+8)^2}$
(Parenthesis) Subtract/Add: $\displaystyle d = \sqrt{(3)^2+(-2)^2}$
[√Radical] Exponents: $\displaystyle d = \sqrt{9+4}$
[√Radical] Add: $\displaystyle d = \sqrt{13}$

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