he solution set is
{
x
∣
x
>
1
}
.
Explanation
For each of these inequalities, there will be a set of
x
-values that make them true. For example, it's pretty clear that large values of
x
(like 1,000) work for both, and negative values (like -1,000) will not work for either.
Since we're asked to solve a "this OR that" pair of inequalities, what we'd like to know are all the
x
-values that will work for at least one of them. To do this, we solve both inequalities for
x
, and then overlap the two solution set
Answer:
x 0.4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Explanation:
Translate every verbal statement into an algebraic statement,
<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>
<u>2. He wants to have at least $200 in the account by the end of summer. </u>
<u />
<u>3. He withdraws $25 a week for his cell phone bill.</u>
<u />
- Call w the number of weeks
<u>4. Write an inequality that represents Keith's situation.</u>
- Create your model: Final amount = Initial amount - withdrawals ≥ 500
With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:
That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.
Answer:
$25
Step-by-step explanation:
We know,
Monthly interest = (Principal × Interest rate) ÷ 12
Given,
Loan principal = $3,000
Interest rate = 10% = 0.10
Therefore, monthly interest = ($3,000 × 0.10) ÷ 12
Monthly interest = $300 ÷ 12
Monthly interest = $25
Therefore, the principal amount to be paid per month is = $(96.80 - 25) = $71.80.
So, Jamison will pay $25 as interest for the 36-month $3,000 loan.
Answer: 19 + 14x ≤ 65
Explanation:
$19 is only added once because there is only one DVD purchased. $14 is added an unknown number of times, thus the variable X is included. We know that that the total number of dollars spent for both items is either less than or equal to 65. (Depending on your teacher, they may want you to write "19 + 14x < 65" if they want you to write the answer only for discrete numbers).
