Explanation:

|x-3| <5 হলে ---- Correct Answer -2 অঋণাত্মক ধরে , x - 3

Explanation:

r > s > 0 ; Quantity A = rs / r and Quantity B = rs / s Correct Answer Quantity in B is greater A = rs/r = s B = rs/s = r

Explanation:

If b < 2 and 2x - 3b = 0,which of the following must be true ? Correct Answer x < 3 2x - 3b = 0 x = 3b/2 If, b = 2 x = ( 3 ×2) /2 = 3 but, b<2 x <3

Explanation:

If x > y, and w < x, which of the following is always true ? Correct Answer z < x Because, x > y and z < y So, x > y > z Hence, z < x [this is always true. Let's examine other options too, 1. z > w, y is less than x and z is less than y so, obviously z is less than x. On the other hand w is also less than x. But we can not say for sure that z is greater than w. z can be greater than w or can be smaller than w. So this option is not the answer. 2. y > w, in the same way of option 1, here y can be either greater or less than w, so this is also not the anwer we are looking for. 3. y = w, this is also not necessarily always true, y can be less or grater than w too, so this can not be the answer. So, the correct answer choice here is option 4.

Explanation:

If x + y > 5 and x - y > 3, then which of the following gives all and only possible values of x ? Correct Answer x > 4 (x + y > 5) + (x – y > 3)Or, 2x > 8Or, x > 4

Explanation:

If for integer x, 5 < x < 10 and y = x + 5. What is the greatest possible value of x + y ? Correct Answer 23 Since y = x + 5y = x + 5 then x + y = x + (x + 5) = 2x + 5x + y = x + (x + 5) = 2x + 5. So, we need to find the greatest possible integer value of 2x + 52x + 5. Multiply 5

Explanation:

|2x-3| <7 এর সমাধান কত? সঠিক উত্তর -2 । 2x - 3। < 7 or, - 7 < 2x - 3 < 7 or, - 7 + 3 < 2x - 3 + 3 < 7 + 3 or, - 4 < 2x < 10 or, - 2 < x < 5

Explanation:

যদি xy < 0, xz > 0 and z < 0 হয়, তবে নিচের কোনটি অবশ্যই সত্য হবে? সঠিক উত্তর y > 0 x<0 so here x is negative. xz>0 so here x & z both are negative, and their multiplication is positive. xy<0 means if x is negative, so y must be positive. So, y>0 is the wright option

Explanation:

4x-3>1 অসমতারটির সমাধান কত? সঠিক উত্তর x1 ধনাত্মক হলে, 4x - 3>1⇒4x - 3>1⇒4x>1 + 3⇒4x>4⇒x>44⇒x>1ঋণত্নক হলে, - 4x - 3>1⇒ - 4x + 3>1⇒ - 4x>1 - 3⇒ - 4x> - 2⇒x> - 2 - 4⇒x>12

Explanation:

বাস্তব সংখ্যায় | 3x +2| <7 অসমতাটির সমাধান; সঠিক উত্তর -3< x < 53   - 7 - 2

Explanation:

2x-5<7 অসমতাটির সমাধান কত? সঠিক উত্তর -1 < x    2x-5<7    -7<2x-5<7    -7+5<2x-5+5<7+5     [add 5 to both sides]    -2<2x<12    -1<x<6                            [Divide 2 with both sides]

Explanation:

বাস্তব সংখ্যায় |2x-3|≤| অসমতাটির সমাধান___ সঠিক উত্তর 1≤x≤2 |2x - 3|≤|   এর পরিবর্তে  |2x - 3|≤1  হলে উত্তর হবে (গ)      1≤x≤2 |2x - 3|≤1     (2x - 3)   অঋণাত্বক হলে প্রদত্ত অসমতা দাঁড়ায় |2x - 3|≤1   = >2x - 3  +  3≤1  + 3  = > 2x≤4 = >2x2≥22.'.x≤2আবার, (2x - 3) ঋণাত্বক হলে প্রদত্ত অসমতা দাঁড়ায় - (2x - 3)≤1 = > 2x  - 3≥ - 1[ - 1 দ্বারা গুণ করে] = > 2x  - 3  + 3 ≥ - 1 + 3 = >2x≥2 = >2x2≥22 = >x≥1 ∴ নির্ণেয় অসমতা 1≤x≤2