Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.
1 answer:
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First add 3 to both sides (what you do on one side you must do to the other). Since 3 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the right side and bring it over to the left side.
2 < u - 3
2 + 3 < u - 3 + 3
5 < u - 0
5 < u
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
5 < u OR u > 5
aka 5 is less then u OR u is greater then 5
This means that the graph will have an empty circle and the arrow will go to the right of 5. Look at image below.
Hope this helped!
~Just a girl in love with Shawn Mendes
