Maths-

General

Easy

Question

# Show the conjecture is false by finding a counterexample.

If a + b = 0, then a = b = 0.

## The correct answer is: the given conjecture is false

### We have given a statement

If a + b = 0, then a = b = 0

We have to show the given conjecture is false.

Let us take a = 0 and b = 0

Then a + b = 0 + 0 = 0

Given statement is true for considered values of a and b.

Let us take a = 3 and b = - 3

Then a + b = 3 + (- 3) = 3 – 3 = 0

From this example we can say that it is not necessary that and b should be 0 to get sum of a and b to be 0 .

Therefore, the given conjecture is false.

### Related Questions to study

Maths-

### calculate the surface area of a cube and volume of a cube with the given diagonal length of 15cm

### calculate the surface area of a cube and volume of a cube with the given diagonal length of 15cm

Maths-General

Maths-

### Show the conjecture is false by finding a counterexample.

If the product of two numbers is positive, then the two numbers must both be positive.

### Show the conjecture is false by finding a counterexample.

If the product of two numbers is positive, then the two numbers must both be positive.

Maths-General

Maths-

### Show the conjecture is false by finding a counterexample.

The square root of any positive integer x is always less than x.

### Show the conjecture is false by finding a counterexample.

The square root of any positive integer x is always less than x.

Maths-General

Maths-

### Show the conjecture is false by finding a counterexample.

All prime numbers are odd.

### Show the conjecture is false by finding a counterexample.

All prime numbers are odd.

Maths-General

Maths-

### Complete the conjecture.

The sum of the first n odd positive integers is ____.

### Complete the conjecture.

The sum of the first n odd positive integers is ____.

Maths-General

Maths-

### A square is drawn with the length of the side equal to the diagonal of the cube. if the square area is 72075 cm^{2}, then find the side of the cube?

### A square is drawn with the length of the side equal to the diagonal of the cube. if the square area is 72075 cm^{2}, then find the side of the cube?

Maths-General

Maths-

### What are all the possible values of b for which is it factorable using only integer coefficients and constant?

### What are all the possible values of b for which is it factorable using only integer coefficients and constant?

Maths-General

Maths-

### Find a counterexample to show that the following conjecture is false.

Conjecture: The square of any integer is always greater than the integer.

### Find a counterexample to show that the following conjecture is false.

Conjecture: The square of any integer is always greater than the integer.

Maths-General

Maths-

### Three blocks that are in the shape of a cube with each side 3.2 cm are attached end to end. Calculate the T.S.A of the resulting cuboid?

### Three blocks that are in the shape of a cube with each side 3.2 cm are attached end to end. Calculate the T.S.A of the resulting cuboid?

Maths-General

Maths-

### The area of a playground is . Without removing common factors, factor to possible dimensions of the playground. How are the side-lengths related? What value would you need to subtract from the longer side and add to the shorter side for the playground to be a square?

### The area of a playground is . Without removing common factors, factor to possible dimensions of the playground. How are the side-lengths related? What value would you need to subtract from the longer side and add to the shorter side for the playground to be a square?

Maths-General

Maths-

### What is the first three numbers in the pattern?

−, −, −, 64, 128, 256, …

### What is the first three numbers in the pattern?

−, −, −, 64, 128, 256, …

Maths-General

Maths-

### Calculate the maximum number of chocolates of size 2cmx3 cmx5 cm that can be kept in a rectangular box of dimensions 6cmx3cmx15 cm

### Calculate the maximum number of chocolates of size 2cmx3 cmx5 cm that can be kept in a rectangular box of dimensions 6cmx3cmx15 cm

Maths-General

Maths-

### Make and test a conjecture about the sign of the cube of negative integers

### Make and test a conjecture about the sign of the cube of negative integers

Maths-General

Maths-

### Given the area of a square, factor it to find the side length.

### Given the area of a square, factor it to find the side length.

Maths-General

Maths-

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

### Identify the value of c that makes the trinomial factorable using the perfect square pattern.

Maths-General