Answer :
Quora Open This sounds like a multiple-choice test question from a standardized test. But let's take a look at it. If 15bx – 20 > 35 ,where b is a positive constant ... So you are given an equation here. Next you are given something to compare it to. 4 – 3bx. So we want to go from 15bx – 20 to 4 – 3bx. The point is for you to think about the relationship. What is the relationship of -20 to 4? How would you turn -20 into 4? By dividing by -5. Of course, division by a negative means you have to reverse the direction of the inequality. 15bx – 20 > 35 15bx – 20 35 -5 -5 4 – 3bx < -7. Note. You will be given an option with the incorrect inequality! After all, they want to see whether you remember every part of handling an inequality like this. Notice that we didn't have to solve for x. We didn't have to do a lot to the equation. We just had to do enough. That's why it is important to take your time to read the problem carefully and think about what it wants.
15bx - 20 > 35
We can factor -5 out of 15bx - 20 because
-5( -3bx + 4 ) = 15bx - 20
-5( -3bx + 4 ) > 35
Rearrange the terms inside the parenthesee
-5( 4 - 3bx ) > 35
Divide both sides of the inequality by -5 , a negative number, so swap the sign.
4 - 3bx < -7
What is a positive constant?
The constant term is n. If n is positive, graph of line with slope m intersects y-axis above the origin at (0, n) If n is negative, graph of line with slope m intersects y-axis below the origin, at (0, n).
What is constant give example?
Constant: A constant can be defined as a fixed value, which is used in algebraic expressions and equations. A constant does not change over time and has a fixed value. For example, the size of a shoe or cloth or any apparel will not change at any point.
To learn more about a positive constant, refer
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