Question

X=6
is a solution to the inequality x−5≤ 10

True or False?

Answer 1

hello!

Let's solve this inequality.

First, we should add 5 to both sides:-

x≤10+5

x≤15

Remember, the "≤" sign means "less than or equal to"

So is x=6 a solution to the inequality x≤15? Will this solution make the inequality true?

Yes.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer 2

• 
  `\boxed{\sf{FALSE}}`

• 
  `\boxed{\sf{x\leq 15}}`

Explanation:

Isolate the term of x from one side of the equation.

x-5≤10

First, add by 5 from both sides.

`\sf{x-5+5\leq10+5}`

Solve.

Add the numbers from left to right.

`\sf{10+5=15}`

`\Longrightarrow: \boxed{\sf{x\leq 15}}`

• Therefore, the solution is x≤15, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.