Question

17123
The solution set of In(5–7) <1 is given by:
Q
01573)
3
(-10,7)
O All real numbers​

Answer 1

Answer:

you are so damb picvoda i

Answer 2

Step-by-step explanation:

The set containing all the solutions of an equation is called the solution set for that equation.

If an equation has no solutions, we write ∅ for the solution set. ∅ means the null set (or empty set).

Equation

Solution Set

3x+5=11

{2}

x2=x

{0,1}

x+1=1+x

R (the set of all real numbers)

x+1=x

∅ (the empty set)

Sometimes, you may be given a replacement set, and asked to test whether the equation is true for all values in the replacement set.

Example 1:

Find the solution set for the equation z+z=z×z if the replacement set is {0,1,2,3,} .

One method of solving this problem is to test all the values in the replacement set using a table.

z0123z+z=z×z0+0=?0×0       0=01+1=?1×1     2≠12+2=?2×2       4=43+3=?3×3       6≠9Result

So, the solution set for this equation is {0,2} .

Solution Sets for Inequalities

Solution sets for inequalities are often infinite sets; we can't list all the numbers. So, we use a special notation.

Example 2:

Solve the inequality

x+2>−3 .

By subtracting 2 from both sides, we get the equivalent inequality

x>−5 .

So, the solution set is

{x | x>−5} .

(To read this, you would say: " x such that x is greater than negative five." The | symbol means "such that" in this case.)

Often, the solutions to inequalities are also written in interval notation .

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