Solve 1<x<=4\ an ) A*(B cap C)=(A* B) cap(A* C)

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$A \times ( B n C ) = ( A \times B ) n ( A \times C )$$

Solve for B

$\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&A=1\text{ or }C=0\text{ or }n=0\text{ or }A=0\end{matrix}\right.$

Steps for Solving Linear Equation

Multiply $A$ and $A$ to get $A^{2}$.

$$ABnC=A^{2}BnC$$

Subtract $A^{2}BnC$ from both sides.

$$ABnC-A^{2}BnC=0$$

Reorder the terms.

$$ABCn-BCnA^{2}=0$$

Combine all terms containing $B$.

$$\left(ACn-CnA^{2}\right)B=0$$

Divide $0$ by $ACn-CnA^{2}$.

$$B=0$$

Show Solution

Solve for A

$\left\{\begin{matrix}\\A=1\text{; }A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&C=0\text{ or }n=0\text{ or }B=0\end{matrix}\right.$