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1 year ago

Solve:

Mathematics

1 answer:

drek231 [11]1 year ago

5 0

The solutions to the inequalities are x >1 and x < 6

<h3>How to solve the inequalities?</h3>

The inequality expression is given as:

-2x + 5 < 3x + 10

Collect the like terms in the above inequality

-2x - 3x < 10 - 5

Evaluate the like terms

-5x < 5

Divide by -5

x >1

Also, we have

5(x - 2) <3x + 2

Open the bracket

5x - 10 < 3x + 2

Evaluate the like terms

2x < 12

Divide by 2

x < 6

Hence, the solutions to the inequalities are x >1 and x < 6

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Answer:

Step-by-step explanation:

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LCM = 2 * 3 * 13 = 78

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3 years ago

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3 years ago

Read 2 more answers

What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:

Gekata [30.6K]

Answer:

B. 13

Explanation:

$\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )$

Logarithm rules:

$\sf (i) \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \ log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)$

Breakdown of the expression:

$\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)$

$\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)$

$\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)$

insert given values

$\rightarrow \sf 2(3)+3(2)-(-1)$

$\rightarrow \sf 13$

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2 years ago