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maw [93]
4 years ago
9

Solve this inequality; 4.2x+5.6<7.2 - 8.3x isolate the constant term on the left side odf the inequality by..................

.. Both sides of the inequaity
Mathematics
1 answer:
aleksley [76]4 years ago
6 0

Answer:

x < 0.128

Step-by-step explanation:

The inequality given is:

4.2x + 5.6 < 7.2 - 8.3x

Let us collect like terms:

4.2x + 8.3x < 7.2 - 5.6

12.5x < 1.6

=> x < 1.6/12.5

x < 0.128

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1. Sometimes

2. Sometimes

3. Always

4. Sometimes

Step-by-step explanation:

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The roots of quadratic function can be either equal or different.

For example:

  • x^{2} -2x+1 will have two equal roots i.e. 1 and 1.
  • x^{2} -3x+2 will have two different roots i.e. 1 and 2.

So, <em>sometimes </em>is the correct answer.

2. Cubic function has atleast 1 real root.

Cubic function has maximum power of x as 3.

If the coefficients are real numbers then atleast 1 real root.

If the coefficients are imaginary in nature, then this is not true.

For example:

Cubic equation x^3 +i = 0 does not have any real root.

Cubic equation x^3 +1 = 0 has a real root x = -1.

So, it is sometimes true.

3. A function with degree 5 i.e. maximum power of x as 5 will have 5 roots.

It is always true that a function will have number of roots equal to its degree.

4. Quadratic function can have only 1 complex solution.

Two complex solutions are also possible for a quadratic function.

For example:

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It is also possible to have 1 complex solution,

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