A. 1.fourteen more than a no. x is greater than 24.
2.seven increased by a no. x is equal to y.
3.twice the sum of a no. x and seven is at least 9
4.seven more than the product of fourteen and a no. x is less than or equal to 18.
5.a no. m is subtracted from fourteen is less than n
B.
A. 14-m<n
B. 2(x+7)>9
C.14+x>24
D.7+x=y
E.14x+7<18
F.7+x>y
Questions:
a. How did you find the activity?
b. What did you observe with the symbols used in each mathematical statement?
c. What is the difference between "e" from "2"?
d. When shall we use
the 2, S? How about >, <?
e. When do we use =?
1. What do you call mathematical statements a and d? How about b, c, e?

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12