Question

How do you solve $ x+8\le 3 $ ?

Answer 1

Hint: This question is a basic inequality question. To solve this question we will use basic algebraic operations. First, we will subtract 8 from both sides of the equation then we will simplify the obtained equation to get the value of x.

Complete step by step answer:
We know that inequalities involve the symbols like \[<,>,\le ,\ge \] . To solve an inequality means to find a range or ranges or values that an unknown takes and satisfies the given inequality.
 $ < $ is less than
 $ > $ is greater than
 $ \le $ is less than or equal to
 $ \ge $ is greater than or equal to
We have been given an expression $ x+8\le 3 $ .
Now, to solve the given inequality first we will subtract the 8 from both sides of the equation we get
 $ \Rightarrow x+8-8\le 3-8 $
Now, simplifying the above obtained equation we get
 $ \Rightarrow x\le -5 $
It means any value less than or equal to $ -5 $ satisfies the equation $ x+8\le 3 $ .

Note:
Inequalities are mathematical expressions that can be solved by using algebra or by drawing graphs. The fact about the inequality is that if we multiply or divide both sides of the inequality by a negative number then the inequality is no longer remains true, the inequality becomes reverse. We can multiply or divide each side by the same positive number. In fact, we can add and subtract by any number at each side. We can also represent the inequality on the number line.