Question 718288
{{{x+1 >= 7}}} and {{{-6x > 24}}}
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 <i>and remember to reverse the inequality</i> (because we are dividing by a negative!):
{{{x >= 6}}} and {{{x < -4}}}<br>
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 <i>at the same time!</i> 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.