Question

Hi I need help ,Solve y−21<85 . Graph the solution. The solution is .

Answer 1

a) y < 106

b) The graph is linked.

Explanation:

Knowledge Needed

To solve an inequality, solve it like an equation. The only exception is that if you multiply or divide both sides by a negative number, the sign flips directions.

If you add, subtract, multiply, divide, exponent/root both sides of an equation, the final result will stay the same. This is how you solve for an equation or inequality.

For example: x + 3 = 5

Subtract 3 on both sides.

x + 3 - 3 = 5 - 3

x = 2

How to Graph a 1 dimensional inequality:

1) Draw a number line with the number that the variable is being compared to. For example: x > 10

Make sure to put a tick mark and mark it with 10.

2) If the inequality symbol is > or <, draw an empty outline of a circle on the number (in this case 10).

If the inequality symbol is
`\geq or \leq`, draw a filled in circle on the number (int his case 10).

3) If the variable is less than the number, draw a arrow from the circle pointing left.

If the variable is greater than the number, draw a arrow from the circle pointing right.

Question

y - 21 < 85

Add 21 on both sides.

y - 21 + 21 < 85 + 21

y < 106

This reads out as y < 106.