2 consecutive integers...x and x + 1
x + x + 1 < = 3
2x + 1 < = 3
2x < = 3 - 1
2x < = 2
x < = 1
x + 1 = 1 + 1 = 2.......the greatest possible value for the greatest integer is 2
x³ + 2x² - x - 2 < 0
x³ - x + 2x² - 2 < 0
x(x² - 1) - 2(x² - 1) < 0
(x - 2)(x² - 1) < 0
(x - 2)(x - 1)(x + 1) < 0
by chacking we get the solution
x ∈ (-∞,-1) ∪ (-1,1)
Simple,
so you have...
-5m=-35
You are trying to find m, so, to
isolate the variable divide both sides by -5:

m=7
Now, to check your work, plug in m.
-5(7)=-35
-35=-35
Thus, you know your answer is correct.
4(x - 8) = (2)(5)
4x - 32 = 10
4x = 42
x = 10.5
Answer:
100 square cm
Step-by-step explanation:
Area of figure 1 = l *b = 10 *7 = 70 square cm
Area of figure 2 = 6* 5 = 30 square cm
Area of shape = 70 + 30 = 100 square cm