For the given inequality -18x + 3 < 48 , the number line that represents the best solution of the inequality is given by x > -2.5. Option A. ( attached number line)
As given in the question,
Required number line is attached.
Given inequality is written as :
-18x + 3 < 48
Simplify the given inequality to get the best solution of x ,
Subtract 3 from both the sides of the inequality,
-18x + 3 - 3 < 48 - 3
⇒ -18x < 45
Now divide by 18 both the sides we get,
-18x / 18 < 48/18
⇒ -x < 2.5
⇒ x > -2.5
It represents the open interval ( 2.5 , ∞]
Option A. Number line represents the given inequality as shown in attached number line.
Therefore, for the given inequality -18x + 3 < 48 , the number line that represents the best solution of the inequality is given by x > -2.5. Option A. ( attached number line)
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