Shifting Entities

Q.

U=x+y+z, v=xsquare+ysquare+zsquare, w=yz+zx+xy

Q. When we multiply -5$\le x<-3$ by -3; inequation becomes:

1. 15$\ge -3x>9$
2. 9$<-3x<15$
3. 15$\le -3x<9$
4. 15$<-3x\le 9$

Q.

Q. Pair the number of elements present in the solution set of the following inequations if $x\in \text{N}.$

1. 4x - 27 < 1
2. -3x + 1 > -5
3. 5x + 1 < 16
4. 6
5. 1
6. 2

Q. Find the maximum value of $x$ that satisfies $-\frac{2}{3}<-\frac{x}{3}+1$, $x\in \text{W}.$

1. 4

Q. Solve
$y-2x=1$ and $5y-x=14$

Q. Shifting one term from one side of an equation to the another side with a change of sign in known as _____

1. Commutativity
2. Transposition
3. Associativity
4. Distributivity

Q.

If x < y, then which of the following inequations hold true?

1. x/y < 0

2. -x - y < 0

3. x + y < 0

4. x - y < 0

Q. If 'A' means '×', 'B' means ′÷′, 'C' means '+' and 'D' means ′−′, then find the value of 21 C 3 D 6 A 8 B 2.

1. 10
2. 13
3. 0
4. 8

Q. Convert the given statement into a yes/no question. Ensure that the meaning of the sentence remains unchanged as far as possible.
He wastes a lot of time.

1. Did he waste a lot of time?
2. Has he wasted a lot of time?
3. A lot of time does he waste?
4. Does he waste a lot of time?

Q.

If $5x-3\le 5+3x\le 4x+2$, express it as $a\le x\le b$.

1. $-3\le x\le 4$
2. $-3\le x\le 3$
3. $3\le x\le -4$
4. $3\le x\le 4$

Q. If twice x is 40 more than y, then (x -21) $\frac{y}{2}$, (where x and y are Natural numbers).

1. >
2. <
3. =