SOLUTION: Solve and graph the solution: x+1 is greater than or equal to 7 and -6x is greater than 24

Question 718288: Solve and graph the solution: x+1 is greater than or equal to 7 and -6x is greater than 24
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
and
First we solve each inequality. For the first one we just have to subtract 1 from each side. For the second one we divide by -6 and remember to reverse the inequality (because we are dividing by a negative!):
and

The "and" between the two inequalities means we are only interested in x values that make both inequalities true. In other words we want x to be greater than or equal to 6 and less than 4 at the same time! With a little thought we should realize that there are no such numbers! It is impossible for a number to be both greater than or equal to 6 and less than 4 at the same time. So there is no solution to this compound inequality. The graph would just be a number line with no dots or shading on it.
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