Question

solve the
5x/2-3=3 1/2 ​

Answer 1

Answer:

Given inequation, 5x−2≤3(3−x)

5x−2≤9−3x

⇒5x+3x≤9+2

⇒8x≤11

⇒x≤

8

11

As x∈{−2,−1,0,1,2,3,4}

The solution set is {−2,−1,0,1}

Representing the solution on a number line:

Answer 2

• As per the data given in the question, we have to find the value of the expression.

       Given data:- $\frac{5x}{2}-3=3\frac{1}{2}.$

       To find:- value of the expression.

        Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:
• Step 1:- we will Identify the variables and constants in the given simple equation.
• Step 2:-then we Simplify the equation in LHS and RHS.
• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.
• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
• Step 5:- Then the result will be the solution for the given linear equation.

     By using the transposition method. we get,

       $\Rightarrow \frac{5x}{2}-3=3\frac{1}{2}\\\Rightarrow \frac{5x-6}{2}=\frac{7}{2}\\\Rightarrow 2(5x-6)=14\\\Rightarrow 10x-12=14\\\Rightarrow 10x=14+12\\\Rightarrow 10x=26\\\Rightarrow x=\frac{26}{10}\\\Rightarrow x=\frac{13}{5}.$

 Hence, the value will be $\frac{13}{5}.$