solve the inequality and graph the solution.\n6 < \\frac{u}{-3} + 7\nto draw a ray, plot an endpoint and…

solve the inequality and graph the solution.\n6 < \\frac{u}{-3} + 7\nto draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

solve the inequality and graph the solution.\n6 < \\frac{u}{-3} + 7\nto draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Answer

Explanation:

Step1: Subtract 7 from both sides

$$6 - 7<\frac{u}{-3}+7 - 7$$ $$-1<\frac{u}{-3}$$

Step2: Multiply both sides by - 3 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips. $$(-1)\times(-3)>\frac{u}{-3}\times(-3)$$ $$3>u$$

Answer:

The solution of the inequality is (u < 3). On the number - line, we plot an open circle at (u = 3) (because the inequality is strict, (u\neq3)) and draw an arrow to the left.