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dem82 [27]
3 years ago
13

Solve the x 1/3x + 5> 10

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer:

The solution to the inequality is:

\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}

The solution graph is also attached below.

Step-by-step explanation:

Given

We are given the expression

\frac{1}{3}x+5>10

To determine

Solve for x

Given the expression

\frac{1}{3}x+5>10

Subtract 5 from both sides

\frac{1}{3}x+5-5>10-5

Simplify

\frac{1}{3}x>5

Multiply both sides by 3

3\cdot \frac{1}{3}x>5\cdot \:3

Simplify

x>15

Thus, we conclude that:

x>15

Therefore, the solution to the inequality is:

\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}

The solution graph is also attached below.

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