Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Answer:
14y -5
Step-by-step explanation:
Given:
-3y - 2 - 3 + 17y (rearrange so that like terms are together)
= 17y - 3y -2 -3 (group like terms)
= (17y - 3y) + (-2 -3 ) simplify
= 14y + (-5)
= 14y -5
The graphing is shown below
Explanation:
The function is given below as
The set of domains is given below as
Step 1:
Put x=-1
Step 2:
Put x=0
Step 3:
Put x=1
Step 4:
Put x=2
Hence,
The range of g(x) using set notation will be
Hence,
The graph of g(x) is given below as
