To graph an inequality, consider the < or > sign to be a = sign and graph the equation. If the inequality is < or >, draw a dotted line to represent the equation.
Graph the equation as a solid line if the inequality is ≤ or ≥, This line divides the xy-plane into two regions: one that meets the inequality and one that does not.
When inequalities are graphed on a coordinate plane, the solutions are found in a region of the plane that is shaded. If the points on the line satisfy the inequality, as in the case of and, the boundary line for the inequality is drawn as a solid line.
Linear inequalities are not the same as linear equations, but what you know about equations can help you understand inequalities. Equations and inequalities are both mathematical statements that compare two values.
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Hello!
In order to create a complete triangle, the sum of the two smaller sides must be greater than the largest side. This can be expressed using the following formula:
(S1) + (S2) > (S3)
We'll begin by inserting the first set of values into the inequality above:
3 + 6 > 10
Simplify the left side:
9 > 10
The inequality (9 > 10) is false. Therefore, the first set of values can be eliminated. Now complete the same process for the next set of values:
3 + 6 > 9
9 > 9
The inequality (9 > 9) is false. Therefore, we can eliminate the second set of values as well. Now complete the same process for the third set of values:
4 + 6 > 9
10 > 9
The inequality (10 > 9) is true. Therefore, we can confirm the third set of values (4 ft - 9 ft - 6ft) as a valid answer.
I hope this helps!
Answer:
Original wage was $11.74/hr
Step-by-step explanation:
Let your beginning hourly rate be r.
Then 1.00r was your previous rate of pay.
Also, 0.15r was your pay increase.
Thus, 1.15r = $13.50. Solve this for r:
r = $13.50 / 1.15 = $11.74/hr
Check: Does $11.74 plus the raise 0.15($11.74) come to $13.50/hr?
$11.74/hr + $1.76/hr = $13.50. YES
Answer:
3y = 6x + 9
Step-by-step explanation:
add 6x(because it's negative) to both sides. Put it in between the = and the 9.