254,938 views
24 votes
24 votes
Solve 4(5x+7)≤13 . Write the solution in set builder notation.

example of set builder notation: x

Solve 4(5x+7)≤13 . Write the solution in set builder notation. example of set builder-example-1
User Dador
by
2.6k points

1 Answer

21 votes
21 votes

Answer:


\left\x\leq-(3)/(4)\right\

Explanation:

Given inequality:


4(5x+7)\leq13

Divide both sides by 4:


\implies (4(5x+7))/(4)\leq(13)/(4)


\implies 5x+7\leq (13)/(4)

Subtract 7 from both sides:


\implies 5x+7-7\leq (13)/(4)-7


\implies 5x\leq (13)/(4)-(28)/(4)


\implies 5x\leq -(15)/(4)

Divide both sides by 5:


\implies (5x)/(5)\leq (-(15)/(4))/(5)


\implies (5x)/(5)\leq -(15)/(4)* (1)/(5)


\implies x\leq -(15)/(20)


\implies x \leq -(3)/(4)

Therefore, the solution in set builder notation is:


\left\x

User Shein
by
3.0k points