Note: This is the Solution of review exercise 5 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward.
Review Exercise 5
Question # 01: Four option are given against each statement. Encircle the correct option.
\((i)\) In the following, linear equation is:
\( a) \quad \) \( 5x>7 \)
\( b) \quad \) \( 4x-2<1\)
\(c) \quad \) \( 2x+1=1)\)
\( d) \quad \) \( 4=1+3\)
\( \text{Answer/Explanation}\)
\((ii)\) Solution of \(5x-10=10\) is:
\( a) \quad \) \( 0\)
\( b) \quad \) \( 50\)
\(c) \quad \) \(4 \)
\( d) \quad \) \(-4 \)
\( \text{Answer/Explanation}\)
\((iii)\) If \(7x+4<6x+6\), then \(x\) belongs to the interval :
\( a) \quad \) \( (2,\infty)\)
\( b) \quad \) \([2,\infty) \)
\(c) \quad \) \((-\infty, 2) \)
\( d) \quad \) \( (-\infty, 2)\)
\( \text{Answer/Explanation}\)
\((iv)\)\(\quad\)A vertical line divides the plane into :
\( a) \quad \) left half plane
\( b) \quad \) right half plane
\(c) \quad \) full plane
\( d) \quad \) two half planes
\( \text{Answer/Explanation}\)
\((v)\) \(\quad\)The linear equation forms out of the linear inequality is called
\( a) \quad \) linear equation
\( b) \quad \) associated equation
\(c) \quad \) quadratic equal
\( d) \quad \) none of these
\( \text{Answer/Explanation}\)
\((vi)\) \(3x+4<0\) is:
\( a) \quad \) equation
\( b) \quad \) inequality
\(c) \quad \) not inequality
\( d) \quad \) identity
\( \text{Answer/Explanation}\)
\((vii)\)\(\quad\)Corner points is also called:
\( a) \quad \) code
\( b) \quad \) vertex
\(c) \quad \) curve
\( d) \quad \) region
\( \text{Answer/Explanation}\)
\((viii)\)\(\quad\)\((0,0)\) is solution of inequality:
\( a) \quad \) \( 4x+5y>8\)
\( b) \quad \) \( 3x+y>6\)
\(c) \quad \) \( -2x+3y<0\)
\( d) \quad \) \( x+y>4\)
\( \text{Answer/Explanation}\)
\((ix)\)\(\quad\)The solution region restricted to the first quadrant is called:
\( a) \quad \) objective region
\( b) \quad \) feasible region
\(c) \quad \) solution region
\( d) \quad \) constraints region
\( \text{Answer/Explanation}\)
\((x)\) \(\quad\)A function that is to be maximized or minimized is called:
\( a) \quad \) solution function
\( b) \quad \) objective function
\(c) \quad \) feasible function
\( d) \quad \) none of these
\( \text{Answer/Explanation}\)
Question 2: Solve and represent their solutions on real line.
\((i)\) \(\quad\) \(\frac{x+5}{3}=1-x\)
\((ii)\) \(\quad\) \(\frac{2x+1}{3}+\frac{1}{2}=1-\frac{x-1}{3} \)
\((iii)\) \(\quad\) \(3x+7<16\)
\((iv)\) \(\quad\) \(5(x-3)\ge 26x-(10x+4) \)
Question 3: Find solution region of the following linear equalities :
\((i)\) \(\quad\) \(3x-4y\le 12 \; ; \)\(\;3x+2y\ge 3\)
\((ii)\) \(\quad\) \(2x+y\le 4\; ; \)\(\; x+2y\le 6\)