a. Solve a – 9 = 20
b. Solve b – 9 > 20
c. How is solving the equation in part a similar to solving the inequality in part b?
d. How are the solutions different?
1.
Inequality : 5 - 1.5
Solved : 5 < with line under the inequality 3.5
2 .
A: is " a = 29 "
B: is " b > 29"
How I solved it, ^^ You just add 9 + 20.
Im not including question d. Figure it out yourself. ♥🤒
Inequality definiton: < > _< _>
Ok im putting my grades in your hands :)
wats the answer ;-;
add 0 to both sides in both cases.
the only difference I see is one is an equality with one solution and one is an inequality with multiple solutions
im confused
I mean add 9 to both sides :)
sorry it didn't work earlier.
A) The value of a is 29.
B) The value of b is greater than 29.
C) In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Step-by-step explanation:
Solving for Part A.
Given,
We have to solve for a.
By using addition property of equality, we will add both side by 9;
Hence the value of a is 29.
Solving for Part B.
Given,
We have to solve for b.
By using addition property of inequality, we will add both side by 9;
Hence the value of b is greater than 29.
Solving for Part C.
In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
Solving for Part D.
The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
a. To solve the equation a – 9 = 20, you want to isolate the variable a. Begin by adding 9 to both sides of the equation:
a - 9 + 9 = 20 + 9
a = 29
Therefore, the solution to the equation a – 9 = 20 is a = 29.
b. To solve the inequality b – 9 > 20, you want to isolate the variable b. Begin by adding 9 to both sides of the inequality:
b - 9 + 9 > 20 + 9
b > 29
Therefore, the solution to the inequality b – 9 > 20 is b > 29.
c. Solving the equation in part a and the inequality in part b are similar in the sense that you need to manipulate the expression to isolate the variable on one side of the equation or inequality sign.
In both cases, you perform operations on both sides of the equation/inequality to maintain balance. However, in an equation, the goal is to make both sides equal, while in an inequality, the goal is to find the range of values for which the inequality holds true.
d. The solutions to the equation and the inequality are different. For the equation a – 9 = 20, the solution is a single value, a = 29. In this case, there is only one value for the variable that satisfies the equation.
For the inequality b – 9 > 20, the solution is a range of values that make the inequality true. In this case, any value of b greater than 29 satisfies the inequality. Therefore, the solution is b > 29, where b can take on any value greater than 29. The solutions to an inequality are typically represented as a range of values or interval.
here you guys go :D
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve
a
–
9
=
20
Solve
b
–
9
>
20
How is solving the equation in part a similar to solving the inequality in part b?
How are the solutions different?
My answer:
A. A=29
B. B > 29