Answer:
25)In order to bring this inequality to graphable form, we need to move all the terms to the left side.In my example, term -144, will be moved to the left side.
Notice that a term changes sign when it 'moves' from one side of the inequality to the other. so it will be written as 12c+144≤0 and ur answer will be
c ≤ -12
27) term 3/5, will be moved to the left side. so it will be written like this 6b+(-3/5) ≥ 3/5 + (-3/5). then it will be written as 5(6b) + (-3)/5 ≥ 3/5 - 3/5, and ur answer will be
b ≥ 1/10
29) In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).The number of times that each prime 'goes into' the original integer becomes its exponent in the final result. Prime number 2 goes into 8 three times. So it will be written like this, b/8 + 2 ≤ -2 + 2, and then b/2^3 + 2 ≤ 0 and ur answer will be
b ≤ -16
31) We need to get rid of all the denominators in this inequality. This can be achieved by multiplying both the left and the right side by the Least Common Denominator. In my example, the LCD is equal to 2 x 3. So it will be written like this, 3 < 2 (-r), and then 3 < -2r and ur answer will be, rin(-\infinity ,-3/2)
Step-by-step explanation:
