Question

Find the solution set of the inequality:

14-3x < -1 =?
someone help

Answer 1

Answer:

Solution set

$x > 5$

or

$5 < x < \infty$

or

in interval notation:  $(5, \infty)$

Step-by-step explanation:

The given inequality is $14 - 3x < -1$

Move 14 to the right side by subtracting 14 from both sides:
$14-3x-14 < -1-14$

Simplify
$-3x < -15$

Multiply both sides by -1; the inequality changes sign:
$(-1)(-3x) > (-1)(-15)\\3x > 15$

Divide by 3 both sides:
$3x/3 > 15/3\\\\x > 5$
This is the solution set: all values of x greater than 5 and less than ∞
Can be written as 5 < x < ∞ or in interval notation as (5, ∞)