Question

question 9
solve and graph:
10x + 5 > 7x + 14 or -1 + 9x ≥ 15x - 1
-5 -4 -3 -2 -1 0 1 2 3 4 5
clear all draw:

Explanation:

Step1: Solve the first inequality

Subtract $7x$ and 5 from both sides of $10x + 5>7x + 14$.
$10x-7x>14 - 5$
$3x>9$
$x > 3$

Step2: Solve the second inequality

Add 1 to both sides and subtract $9x$ from both sides of $-1 + 9x\geq15x-1$.
$9x-15x\geq-1 + 1$
$-6x\geq0$
$x\leq0$

Step3: Graph the solutions

For $x>3$, use an open - circle at 3 and an arrow to the right. For $x\leq0$, use a closed - circle at 0 and an arrow to the left.

Answer:

The solution is $x\leq0$ or $x > 3$. On the number - line, place a closed circle at 0 and draw an arrow to the left, and place an open circle at 3 and draw an arrow to the right.