Answer:
x > −3
Step-by-step explanation:
Let's solve your inequality step-by-step.
3(x + 2) > x
Step 1: Simplify both sides of the inequality.
3x + 6 > x
Step 2: Subtract x from both sides.
3x + 6 − x > x − x
2x + 6 > 0
Step 3: Subtract 6 from both sides.
2x + 6 − 6 > 0 − 6
2x > −6
Step 4: Divide both sides by 2.
2x / 2 > −6 / 2
x > −3
Answer:
x > −3
Hope this helps :)
Answer:
x = -1.3
Step-by-step explanation:
5x +9=2.5
subtract 9 from both sides
5x = -6.6
divide both sides by 5
x=-1.3
Raj's conjecture is valid i.e an even number times an even or odd number will always be even.
Even numbers are number that can be divided by 2 without leaving a remainder. Examples are: 4, 6, 8, 20, 50 etc. While odd numbers can not be divided evenly by 2. Examples are: 7, 11, 17, etc
Thus, the conjecture can be proved as follows:
i. Even number times an even number
- 4 x 12 = 48
- 6 x 8 = 48
- 2 x 10 = 20
- 12 x 16 = 192
Thus, an even number multiplied by an even number would give an even number.
ii. Even number times an odd number
- 4 x 11 = 44
- 6 x 5 = 30
- 2 x 7 = 14
- 8 x 17 = 136
- Thus, an even number multiplied by an odd number would always give an even number.
Therefore, Raj's conjecture is valid.
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