I'm a little confused on the fraction part of this equation. If someone could please show a step by step process on how to solve it I would highly appreciate your help and you'll earn 10 points as a gift for helping me.
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Hello,
2/3(6X-9)+4>5X+1
1st step: Get rid of the fraction by multiplying the entire inequality by 3 to get:
2(6x - 9) + (4*3) > (5x + 1)*3
2nd step: Simplify to get:
12x - 18 + 12 > 15x + 3
3rd step: Take the ' 15x ' to the left side of the inequality and take both ' - 18 ' and ' + 12 ' to the right side of the inequality while changing their signs, to get:
12x -15x > +3 +18 -12
then simplify to get: -3x > +9
then divide both sides by (-3) but you need to change the inequality sign from '>' to ' < ' since you divide by a negative number to get:
(-3x)/(-3) < (+9)/(-3) so, x < -3
2/3(6X-9)+4>5X+1
1st step: Get rid of the fraction by multiplying the entire inequality by 3 to get:
2(6x - 9) + (4*3) > (5x + 1)*3
2nd step: Simplify to get:
12x - 18 + 12 > 15x + 3
3rd step: Take the ' 15x ' to the left side of the inequality and take both ' - 18 ' and ' + 12 ' to the right side of the inequality while changing their signs, to get:
12x -15x > +3 +18 -12
then simplify to get: -3x > +9
then divide both sides by (-3) but you need to change the inequality sign from '>' to ' < ' since you divide by a negative number to get:
(-3x)/(-3) < (+9)/(-3) so, x < -3