This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
Answer:
the bottom left one (the graph that looks like a circle) is not a function, but the other ones are.
Step-by-step explanation:
A function is defined so that for every x value within a function has a y value. This means that an x value CANNOT have more than one y value. The bottom right one has two y values for almost every x value within the domain. The top ones are functions, because all x values have only 1 y value (a discontinuous function is still a function!) And the bottom right is too.
Answer:
Always true because there are no other options that allow the equations to be true
Step-by-step explanation:
a+4=8
subtract 4
a=4
4-m=2
add m
4=2+m
subtract 2
2=m
Answer:
1/8
Step-by-step explanation:
1/2 cubed is just 1/2*1/2*1/2 which is 1/8
