Compare learning about functions to learning a new language. How are they similar?

Mathematics

2 answers:

hichkok12 [17]2 years ago

8 0

Answer:

Language rules could be compared to syntax rules that govern the writing and scripting of a function. Language-based rules could be compared to syntax rules when writing functions, such that when the guiding syntax is correctly displayed, the function is clear and easy to read.

ycow [4]2 years ago

5 0

Answer:

Similarities

They both follow strict laws (typically stricter for math).

Practice makes perfect: both can be learned to points of practical perfection.

The brain must first attribute meaning or value to elements of either in order to build a learning pattern.

Differences:

Math is learned under assumptions of perfection (2 + 2 = 4 ALWAYS); whereas, language is learned under assumptions of reality (2 + 2 may be 5 for significantly larger values of 2). In other words, 2 average sized men plus 2 average sized Texans would more likely equal 5 or more average sized men.

Math is logical and language is largely artistic.

There is only one solution (or specific set of solutions) to every math problem. On the other hand, there are at least 100 different ways to express the same idea using language.

Step-by-step explanation:

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kolbaska11 [484]

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You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

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In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

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$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .