85 - 3x = 40 solve the inequality

Mathematics

2 answers:

mario62 [17]2 years ago

6 0

-3x=40-85
-3x=-45
x=15

RoseWind [281]2 years ago

5 0

Answer:

x=15

Step-by-step explanation:

Like solving all Algebra equations, it is very important to make sure that the variables (In this case x) are on one side and the numbers are on the other side.

85-3x=40

First, let's subtract 40 on both sides

45-3x=0

Add 3x to both sides

45=3x

Let's divide both side by 3

And we get...

x=15

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Let Z={a,c,{a,b}}. What is |Z|?

Lina20 [59]

$Z=\{a,c,\{a,b\}\}$

$\boxed{|Z|=3}$ (treat $\{a,b\}$ as one element of $Z$ )

The power set of $Z$ is

$\boxed{2^Z=\bigg\{\{\},\{a\},\{c\},\big\{\{a,b\}\big\},\{a,c\},\big\{a,\{a,b\}\big\},\big\{c,\{a,b\}\big\},\big\{a,c,\{a,b\}\big\}\bigg\}}$

1. $\{a,c\}\subseteq Z$ is true because both $a\in Z$ and $c\in Z$ .

2. $a\in Z$ is true.

3. $\{c\}\subseteq Z$ is true (same reason as part 1).

4. $\{c\}\in Z$ is false because $Z$ does not contain the set $\{c\}$ , rather just the element $c$ itself.

5. $b\in Z$ is false because the element $b$ on its own simply is not in $Z$ . That $b\in\{a,b\}$ does not mean $b\in Z$ , but that $b$ belongs to a subset of $Z$ .