Which number line shows the solution of -4x+ 6> 18?
1 answer:
Consider the below figure attached with this question.
Given:
To find:
The number of line that represents the solution of given inequality.
Solution:
We have,
Subtracting 6 from both sides, we get
If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.
Divide both sides by -4.
The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.
So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.
Therefore, the correct option is A.
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Answer:
we determine that none of the ordered pair is a solution of as none of the ordered pairs satisfy the equation.
Step-by-step explanation:
Considering the equation
- Putting (-5,2) in the equation
∵ L.H.S ≠ R.H.S
FALSE
- Putting (0,-5) in the equation
∵ L.H.S ≠ R.H.S
FALSE
- Putting (5,1) in the equation
∵ L.H.S ≠ R.H.S
FALSE
- Putting (7,5) in the equation
∵ L.H.S ≠ R.H.S
FALSE
From the above calculations, we determine that none of the ordered pair is a solution of as none of the ordered pairs satisfy the equation.
Answer:
Step-by-step explanation:
we would like to solve the following equation:
in order to do so do cross multiplication:
divide both sides by √3:
since we ended up with a square root on the denominator so we can consider rationalising the denominator to do so multiply both numerator and denominator by √3 which yields:
simplify multiplication:
reduce fraction:
and we are done!