Question

solve the inequality and graph the solution.
1 < \frac{p - 10}{-7}
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by -7

When multiplying an inequality by a negative number, the inequality sign flips. So we have $1\times(- 7)>\frac{p - 10}{-7}\times(-7)$, which simplifies to $-7>p - 10$.

Step2: Add 10 to both sides

Adding 10 to both sides of the inequality $-7>p - 10$, we get $-7 + 10>p-10 + 10$, which simplifies to $3>p$ or $p<3$.

Answer:

The solution of the inequality is $p < 3$. On the number - line, we use an open - circle at $p = 3$ (since the inequality is strict, $p$ cannot equal 3) and draw an arrow to the left to represent all the values of $p$ that satisfy the inequality.