If you have time to whine, then you have time to find a solution.

Proffering solution, the former Vice President said, “We must invest in education and provide opportunities for economic independence for our people, especially women. This is a critical part of creating a fairer and more prosperous Nigeria

RHAPSODY OF REALITIES

FRI NOV 08 2024

HIS WORD—A GUIDING LIGHT
For with thee is the fountain of life: in thy light shall we see light (Psalm 36:9).

Some people allow past experiences or disappointments to shape their relationship with God, and that’s wrong. God’s Word is and must remain the foundation of your walk with Him. Your daily relationship with Him should be guided by His Word, not by what you have faced or what others say. His Word is the light that guides us every step of the way. Hallelujah!

Remember the words of the psalmist, “Thy word is a lamp unto my feet, and a light unto my path” (Psalm 119:105). Those who ignore the Word grope in the dark and face so many calamities in life: “My people are destroyed for lack of knowledge...” (Hosea 4:6). The Word of God is your life and your light; so never be casual or too familiar with the Word.

Let the truths and realities of the Scriptures stir you up all the time. Love the Word. Hear the Word and acknowledge it; and then live the Word. That’s what you need to win every day. That’s what you need to walk in the supernatural every day. The Lord Jesus said in John 8:12, “…I am the light of the world: he that followeth me shall not walk in darkness, but shall have the light of life.” How do you follow Him?

You follow Him in the Word, through the Word, and by the Word. Then He says, when you follow Him, not only will you not walk in darkness, you’ll have the light of life. In other words, you’ll have answers; you’ll have solutions to life’s issues and problems. You’ll be a victor all the way. You’ll know exactly which way to go and what the direction for your life is. That’s what the Word gives you. Light gives direction. Light shows the way. God’s Word (His Light) illuminates your path to see, apprehend, and walk in the path God has preordained for you—His destiny for your life. Hallelujah!


PRAYER / CONFESSION
Dear Father, I thank you for your Word that is a guiding light in my life, illuminating my path as I fulfil my destiny in Christ, guided by your truth and wisdom. Thank you for granting me answers, solutions and the clarity I need to fulfil my purpose, in Jesus’ Name. Amen.

FURTHER STUDY
Proverbs 6:23; John 1:4; John 8:12 NIV

Obaseki pointed out that, unlike previous attempts at educational reform, his administration had implemented tangible solutions.

He added, “We are not just talking about teacher training or increasing enrollments. You can come to Edo and see the data. We have enrolled over 400,000 children, and you can identify them because the data on every child is there.”

Distributive Property
If a set is closed under two or more binary operations (*Ө) for all a,b and c € S, such that:

a*(bӨc) = (a*b)Ө(a*c) - Left distributive

(BӨc)*a = (b*a)Ө(c*a) - Right distributive over the operation Ө

Example: Given the set R of real numbers under the operations * and Ө defined by: a*b = a + b - 3, aӨb = 5ab for all a, b € R. Does * distribute over Ө.

Solution:

Let a, b, c € R

a * (bӨc) = (a*b) Ө (a*c)

a * (bӨc) = a*(5ab)

= a + 5ab - 3

(a*b) Ө (a*c) = (a+b-3) Ө (a+c-3)

=5(a+b-3)(a+c-3)

From the expansion, it's obvious that a*(bӨc) ≠ (a*b) Ө (a*c) therefore * does not distribute over

Associative Property
If a non - empty set S is closed under a binary operation *, that is a*b € S. Then a binary operation is associative if (a*b) *c = a*(b*c)

Such that C also belongs to S.

Example: The operation Ө on the set Z of integers is defined by; a Ө b = 2a + 3b - 1. Determine whether or not the operation is associative in Z.

Solution

Introduce another element C

(aӨb)Өc = (2a+3b-1) Ө C

= 2(2a+3b-1) + 3c - 1

= 4a + 6b - 2 + 3c - 1

= 4a + 6b + 3c - 3

Also, the RHS, a Ө (b Ө c) = a Ө (2b + 3c - 1)

= 2a + 3(2b + 3c - 1) - 1

= 2a + 6b + 9c - 3 -1

a Ө (b Ө c) = 2a + 6b + 9c -4

Since, (a Ө b) Ө c ≠ a Ө (b Ө c), the operation is not associative in Z.

Closure Property
A non-empty set z is closed under a binary operation, * if for all a, b € Z.

Example: A binary operation * is defined on the set S= {0, 1, 2, 3, 4} by X*Y = x+y-xy. Find (a)2*4 (b)3*1 (c)0*3. Is the set S closed under the operation *?

Solution

(a)2*4, i.e, x = 2, y = 4

2+4 - (2x4) = 6-8 = -2

(b)3*1 = 3 + 1 - (3x1) = 4 - 3 =1

(c)0*3 = 0 + 3 - (0x3) = 3

Since -2€ S, therefore the operation * is not closed in S.

Every problem comes with some solution.. If it doesn't have any solution, it's a Girl!

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