Answer:
x < −6
Step-by-step explanation:
In inequalities, the division by a negative number results in change of the sign. That is from less than to greater than and vice versa.
Therefore,
3x − 2 > 5x + 10.
= 3x - 5x > 2 +10
= -2x > 12
= x < -6
The sign changes as defined above.
D=7 because 12 multiplied by 7 equals 84
Answer:
first option
Step-by-step explanation:
you multiply each coordinate per 4
1/5
Each of the 5 balls has 5 possible combinations, as each one (1 - 5) can be paired with any of the 5. Therefore, the total number of combinations is 25.
For the product to be even, one of the balls has to be a 2 or 4. However, 2 multiplied by any number 1 - 5 is not greater than 10, so 2 is not an option. This means one of the balls has to be a 4.
There are only 3 numbers of 1 - 5 that, when multiplied by 4, are greater than 10. These are 3, 4, and 5.
This means that there are 5 combinations that work:
3 × 4 = 12
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20
5 × 4 = 20
This means that 5 out of 25 combinations produce a result that is both even and greater than 10.
5/25 is then simplified to 1/5
Answer:
16
Step-by-step explanation:
