Remove both sets of brackets.
18 - 9x - 8 + 12x > 9 Collect like terms on the left.
12x - 9x + 18 - 8 > 9
3x + 10 > 9 Subtract 10 from both sides.
3x > 9 - 10
3x > - 1 divide by 3
x > -1/3
Notice what the graph is telling you. A blue dotted line is going through x = - 1/3 or - 0.3333
Everything to the right of - 0.333 is colored blue and that means anything to the right if going to be a solution to the inequality. To confirm this for yourself, try zero and 1. Both should give larger than 9 solutions.
C) -1/9 because any positive number times a negative number is negative
<span>The given function is f(x) = (7x + 1)/2. Write it as y = (7x)/2 + 1/2. To determine the inverse do these 3 steps. Step 1: Swap x and y to obtain x = (7y)/2 + 1/2. Step2: Solve for y. First, multiply through by 2 to obtain 2x = 7y + 1. Second, subtract 1 from each side to ontain 2x - 1 = 7y. Third, divide through by 7 to obtain (2x - 1)/7 = y. Step 3: Set y to the inverse of f(x) to obtain f^(-1) (x) = (2x - 1)/7.</span>