Answer:
[tex]x<5[/tex]
Step-by-step explanation:
we have
[tex]-7x+14>-3x-6[/tex]
Solve for x
Group terms that contain the same variable
[tex]-7x+3x>-6-14[/tex]
[tex]-4x>-20[/tex]
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
[tex]x<5[/tex]
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
