0
First consider the auxiliary equation x2 - 4x - 12 = 0
This simplifies to (x + 2)(x - 6) = 0 which has root x = -2 and x = 6
Since the coefficient of x2 is positive, the inequality is satisfied between the roots that is, -2 < x < 6
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Tan2 θ - tan θ equals 0.for θ ...0 less than or equal to θ less than 2 pi...?
theta = 0 is the only solution.
Is -4 the solution of an inequality x-4?
0
What is the solution to t2-16t plus 65 equals 0?
It has no solutions because the discriminant of b2-4ac is less than zero
Is -6 less than 0?
yes because - or negative is less than 0.
How is finding the solution to an inequality different from finding the solution of an equation?
Solving for an inequality requires an additional step. First you solve as if for an equation, then you need to find which numbers give greater than and less than. The easy way to do this is to put in 0 for the variable and see where the values go greater or less. Example: What is the inequality table for 5x=20? when x=4 the equation balances. if x=0 then the left side is less than 20, so all numbers from 4 towards 0 are going to give "less than" values, so all numbers less than 4. The table is {x|(-∞,4),4,(4,∞)}■
Tan2 θ - tan θ equals 0.for θ ...0 less than or equal to θ less than 2 pi...?
theta = 0 is the only solution.
What may be the pH of an acid solution?
0-6 and everything less than 7 (grade 7 science)
Is -4 the solution of an inequality x-4?
0
Is 0 less than 1?
Yes, 0 is less than 1.
What is the solution to t2-16t plus 65 equals 0?
It has no solutions because the discriminant of b2-4ac is less than zero
Is 0 less than or equal to 4?
0 is less than 4 but 0 is greater than -4
Is -6 less than 0?
yes because - or negative is less than 0.
Is -7 greater than or less than 0?
It is less than 0. That is what the minus sign, "-", means!
Is -8 less than or equal to 0?
less than
How is finding the solution to an inequality different from finding the solution of an equation?
Solving for an inequality requires an additional step. First you solve as if for an equation, then you need to find which numbers give greater than and less than. The easy way to do this is to put in 0 for the variable and see where the values go greater or less. Example: What is the inequality table for 5x=20? when x=4 the equation balances. if x=0 then the left side is less than 20, so all numbers from 4 towards 0 are going to give "less than" values, so all numbers less than 4. The table is {x|(-∞,4),4,(4,∞)}■
How can an equation have more than one solution?
0 x b = 0 has more than 1 solution. This is because 0x1= 1 and 0x2= 0 does too.
Is 1 less than 0.2?
Any number with a 0. in front of it is LESS than zero. Is 1 less than 0? No it is greater.
