All categories

3 years ago

Solve 3x − 2 < 7 or −2x+3<−15

Mathematics

1 answer:

lana [24]3 years ago

4 0

Answer:

x<3

where x does not exist

(-infinity, 3)

Where x exists

[3, infinity]

Step-by-step explanation:

I'm just going to answer the first one.

Treat it like your solving for x, however the only difference is that it's an inequality.

3x-2 <7

3x< 7+2

3x/3x < 9/3

x<3

Now we know where x does and does not exist.

I'm assuming your teacher wants that, (-infinity, 3) (this is where it does not exist)

[3, infinity]

In case you were wondering square brackets is where it exists and curled is where it doesn't.

You might be interested in

PLEASE ANSWER THIS . Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must

Ainat [17]

Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71

<h3>Solution:</h3>

Given that

Goran's company makes solid balls out of scrap metal for various industrial uses.

For one project, he must make aluminum balls that have a radius of 7.5 inches.

Cost of aluminum = $0.12 per cubic inches

Need to determine cost of aluminum to make one ball.

Lets first calculate the volume of one ball

As shape of the ball is sphere , we can use volume of sphere formula

$\text {Volume of ball }=\text { Volume of sphere }=\frac{4}{3} \pi r^{3}$

Where "r" is the raius of ball

Given that radius of required ball = 7.5 inches

$\text { So, volume of ball of radius } 7.5 \text { inches }=\frac{4}{3} \pi \times 7.5^{3}$

$=\frac{4}{3} \times 3.14 \times 321.875=1347.5833 \text { cubic inches }$

So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches

Cost of aluminum for 1 cubic inch = $0.12

So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:

$=0.12 \times 1347.5833=\$ 161.71$

8 0

3 years ago

How do I solve -2x > 6

vodomira [7]

I’m not the best with words but first you would have to treat the greater sign as a = sign. So..
-2x =6
/ /
-2 -2
X = -3
and then you would change the sign to a less than sign because you divided by a negative.

7 0

4 years ago

Review

galben [10]

Answer:

The mean increased

Step-by-step explanation:

The mean is the average, add all numbers and divide by total amount.

Old mean: 6

New mean:8

3 0

3 years ago

=. What does the expression (x+3)(9) represent? Why?

tresset_1 [31]

Because when you multiply the 9 by x you get 9x and when you multiply the 9 by 3 you get 27. So then your final answer would be 9x + 27.
I hope this helps!! :)

6 0

1 year ago

Please help me, i suck at this

Svetradugi [14.3K]

Answer:

(5, -5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x - 3y = 25

5x + 3y = 10

Step 2: Solve for x

Elimination

Combine two equations: 7x = 35
[Division Property of Equality] Divide 7 on both sides: x = 5

Step 3: Solve for y

Substitute in x [1st Equation]: 2(5) - 3y = 25
Multiply: 10 - 3y = 25
[Subtraction Property of Equality] Subtract 10 on both sides: -3y = 15
[Division Property of Equality] Divide -3 on both sides: y = -5

5 0

3 years ago

Read 2 more answers