Question

Finding the solutions of inequality -7x+14>-3x-6

Answer 1

Answer:

$x$

Step-by-step explanation:

we have

$-7x+14>-3x-6$

Solve for x

Group terms that contain the same variable

$-7x+3x>-6-14$

$-4x>-20$

Divide by -4 both sides

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol  

so

$x$

The solution is the interval (-∞,5)

All real numbers less than 5

In a number line the solution is the shaded area at left of x=5 (open circle)

The value of x=5 is not included in the solution