8x-2=-9+7x
Add 2 to both sides
8x=-7+7x
Subtract 7x from both sides
x=-7
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
A=(-13+9)/4 = -1
a=-1
15=5m
m=3
Answer: Your choice is the first one above.
In our inequality, x is our unknown, so that is "a number" in the wording above. 1/2x means half the number. So we have half a number plus 3/4. Of course "plus" means sum, so we have "the sum of half a number and 3/4" so far. The inequality sign is greater than or equal to. That means that the left side CAN equal the right side and it can also be greater than the right side, but it's not ok to be less than the right side.
Answer:
g(x) = 2x - 3
Step-by-step explanation:
The inverse of a function is the equation where x and y have switched places. If when you solve for y again, the function passes the vertical line test, the inverse if a function.
g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to y = (x-3)/2. This is a line and is a function y = 1/2 x - 3/2.
k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to 
. This is a function but only for certain values of x.
f(x) = |x+2| is an absolute value function. All absolute value functions do not have inverses which are functions.
w(x) = -20 does not have an inverse which is a function.
This means A is the solution.
