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2 years ago

Find the solution set of the inequality \qquad52- 3x < -14.52−3x<−14.

Mathematics

2 answers:

SIZIF [17.4K]2 years ago

7 0

Answer:

52 - 3x < - 14.52 − 3x < − 14 = x ∈ ∅

Step-by-step explanation:

- 14.52 - 3x > 52 - 3x

- 14.52 - 3x < - 14

- 14.52 > 52

- 3x < - 14 + 14.52

x ∈ ∅

- 3x < 0.52

x ∈ ∅

x > - $\frac{13}{75}$

x ∈ ∅

I think that's true

Anarel [89]2 years ago

5 0

Answer:

Step-by-step explanation:

add 14.52 to both sides of the inequality to cancel that value out from the middle. Then you can divide both sides by 3x to get x by itself in the middle.

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3 years ago

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3 years ago

Which equation does the graph of the systems of equations solve?

Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

$\frac{1}{3}x+1=2x-4$

Subtract 1 from both sides

$\frac{1}{3}x+1-1=2x-4-1$

Simplify

$\frac{1}{3}x=2x-5$

subtract 2x from both sides

$\frac{1}{3}x-2x=2x-5-2x$

Simplify

$-\frac{5}{3}x=-5$

Multiply both sides by 5

$3\left(-\frac{5}{3}x\right)=3\left(-5\right)$

Simplify

$-5x=-15$

Divide both sides by -5

$\frac{-5x}{-5}=\frac{-15}{-5}$

Simplify

$x=3$

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0

3 years ago