<img src="https://tex.z-dn.net/?f=3%20-%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%3C%203%20" id="TexFormula1" title="3

All categories

Assoli18 [71]

3 years ago

t; 3 " alt="3 - \frac{x}{2} < 3 " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Sergio [31]3 years ago

8 0

The first step for solving this is to cancel equal terms on both sides of the inequality.
$- \frac{x}{2}$ < 0
Now multiply both sides of the inequality by -2 and flip the inequality sign.
-2 × ( $- \frac{x}{2}$ ) > -2 × 0
Remember that multiplying two negatives together always equals a positive,, so the expression changes to the following:
2 × $\frac{x}{2}$ > -2 × 0
Reduce the numbers with 2.
x > -2 × 0
Any expression multiplied by 0 equals 0,, so the correct answer to your question will be:
x > 0
Let me know if you have any further questions.
:)

You might be interested in

Directions: for questions 1 through 4, find the diagonal length of each solid figure.

Alex787 [66]

$\text{The length of the diagonal is }11.2\text{ mm}$

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

The other measures are 6 mm and 8 mm

According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the diagonal as l

Mathematically;

$\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}$

Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above

Thus, we calculate this using the Pytthagoras' theorem as follows;

$\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}$

7 0

1 year ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write the steps to solv

Mkey [24]

Answer:

The computer can perform 1051050 calculations in 10 seconds.

Step-by-step explanation:

1. Put the quantity of calculations the computer can perform in 1 second:

$105105\frac{calculations}{1second}$

2. Multiply the quantity of calculations by 10 seconds:

$105105\frac{calculations}{1second}*10seconds=1051050calculations$

Note that the units of seconds are cancelled as they appear on the numerator and the denominator, and the final response unit is given in calculations number.

The computer can perform 1051050 calculations in 10 seconds.

4 0

3 years ago

F + 2.5= 3f + 7.24 (What first step would you do to solve for f? )

Step2247 [10]

Step-by-step explanation:

We have our question.

f + 2.5= 3f + 7.24

Then you combine like terms that taking the coefficients apart.

That is,

NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .

f - 3f = 7.24 - 2.5

-2f = 4.74

Divide both sides by coefficient of f which is -2

-2f = 4.74

-2 -2

f = 8.49

8 0

2 years ago

Read 2 more answers

What is the value of x?

kipiarov [429]

First of all, let’s find CB.
sin(45°) = CB : 6sqrt(2)
CB = 6
Now we can find CD
cos(60°) = x : 6
x = 3

7 0

2 years ago

Solve the proportion.

Marysya12 [62]

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

3 0

3 years ago