Answer:
12) B --> x < 8/3
13) B --> x ≤ 1/6
Step-by-step explanation:
12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:
x - 10 < 6 - 5x
Add 5x to both sides to combine the x terms:
x - 10 < 6 - 5x
+5x +5x
6x - 10 < 6
Add 10 to both sides to isolate the x term:
6x - 10 < 6
+10 +10
6x < 16
Now, divide by 6 on both sides:
x < 8/3, this is B
13) Simplify 2 - 4:
2-3(2x + 1) ≤ 6x(-2)
Distribute:
2 - 6x - 3 ≤ -12x
Add 12x to both sides and combine like terms:
6x - 1 ≤ 0
Add 1 to both sides:
6x ≤ 1
Divide by 6:
x ≤ 1/6, this is B
12a. First expressing as a fraction, Shan has 12/32 books from his favorite author, so:
12/32=3/8=0.375 books from his favorite author
12b. Because the decimal 0.375 isn't a periodical decimal, so it would be a terminating decimal.
To get the Y values use the equation Y = MX and substitute the X and M values So for the first one you would get Y = -3 x -1 leaving Y as 3 then for the second you do Y = -3 x 0 giving you Y = 0 the third would be Y = -3 x 1 so Y would be -3 and you give the last one a shot >.O best of luck!
D.(6,3)
because your in put is not the same as any of the other in puts
Answer:
x = 1
Step-by-step explanation:
2x + 1 = -1
2x = -1 - 1
2x = -2
x = -2 ÷ -2
x = 1