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.
Add 2x^2 to both sides
7x^2-2x-6=9x
Subtract 9x from both sides
7x^2-11x-6=0
Factor by using slip and slide
x^2-11x-42
(x-14)(x+3)
(x-14/7)(x+3/7)
(x-2)(7x+3)
Then use the Zero Product Property to find roots
x-2=0
x=2
7x+3=0
7x=-3
x=-3/7
Final answer: x=-3/7, x=2
Answer:
2/6 And 4/12
Step-by-step explanation:
both simplified equals 1/3.
Answer:
2/21 is the most logical answer
Step-by-step explanation:
