What is the solution to the inequality -10.5 -7x> -4.5−10.5−7x>−4.5?
1 Answer
May 18, 2016
Explanation:
Given,
-10.5-7x > -4.5−10.5−7x>−4.5
Start by adding
-10.5color(white)(i)color(red)(+10.5)-7x > -4.5color(white)(i)color(red)(+10.5)−10.5i+10.5−7x>−4.5i+10.5
-7x > 6−7x>6
Divide both sides by
color(red)((color(black)(-7x))/-7) > color(red)(color(black)6/-7)−7x−7>6−7
x > -6/7x>−67
However, recall that you must always flip the inequality sign whenever you divide by a negative number. Thus,
color(green)(|bar(ul(color(white)(a/a)color(black)(x < -6/7)color(white)(a/a)|)))