Solve and graph.
-$- 15

Question

Solve and graph.
-$- 15 < 7 x - 1$ and $5 x - 9 < 1$

Quizplus · Accepted Answer

Simplifying the inequalities, we have:
$$x > -2/7$$ 
$$x > 2$$
Therefore, the solution is: 
$( -2/7,\infty )$. 
But since we need to consider the intersection of the two inequalities, we only consider the part where both are true, so the solution is:
$( -2/7,\infty ) \cap (2,\infty ) = (2,\infty )$.
Therefore, the graph should be an open circle at 2 (because x is not equal to 2), shading everything greater than 2 to the right.

Solve and Graph −15<7x−1- 15 < 7 x - 1−15<7x−1 And 5x−9<15 x - 9 < 15x−9<1

Solve and Graph $- 15 < 7 x - 1$ And $5 x - 9 < 1$