"Do the two inequalities have the same solutions? Wriet yes or no.
-5x > 0
x > 0
Solve each inequality and ch eck your solution.
9x > 81
help please?
-thanks
-5x > 0
-5x/-5 > 0/-5
x < 0 since we are dividing by a negative, the inequality changes
so, no the answer is not the same
9x > 81
x > 81/9
x > 9
first one no:
when dividing by a negative you need to flip the inequality sign
-5x > 0 = x < 0
x<0 doesn't equal x>0
the second
x> 81/9
x> 9
A 3-mi cab ride costs $3.00. A 6-mi cab ride costs $4.80. Find a linear equation that models cost c as a function of distance d.
you should have posted as a new question
Can you help me on this problem as well? (or anyone.)
Solve each inequality and check your solution.
h
- > -7
4
To determine if two inequalities have the same solutions, we need to solve both inequalities separately and then compare the solutions.
Inequality 1: -5x > 0
To solve this inequality, we need to isolate the variable x. Since there is a negative coefficient (-5) on the x, we will divide both sides of the inequality by -5. However, when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality sign. So, we have:
x < 0
Inequality 2: x > 0
This inequality is already solved and is straightforward. It states that x must be greater than 0.
Now, let's compare the solutions. Inequality 1 (x < 0) implies that x must be less than 0, while Inequality 2 (x > 0) states that x must be greater than 0. Therefore, the solutions of the two inequalities do not overlap.
Answer: No, the two inequalities do not have the same solutions.
Now, let's move on to solving the next inequality you mentioned: 9x > 81
To solve this inequality, we will isolate the variable x by dividing both sides by 9:
9x > 81
Dividing by 9: x > 9
The solution to the inequality is x > 9.
To check our solution, we can substitute a value greater than 9 into the inequality, such as x = 10:
9(10) > 81
90 > 81 (true)
Since the inequality is true for x = 10, we can conclude that the solution x > 9 is correct.
Hope this helps! Let me know if you have any more questions.