Two more than twice a number is greater than negative sixteen

Answer 1

Two more than (2 + _ ) twice a number (2x) is greater than (>) negative sixteen (-16)

2+2x>-16

2x>-16-2

2x>-18

x>-9

Answer 2

Start by translating this from words to a mathematical expression.

Two more than → 2+

twice a number → 2x

is greater than negative sixteen → > -16

The full expression is then:

2+2x > -16

You can then solve for x:

2x > -18

x > -9

Answer 3

We can let N represent "a number:"

N

First, multiply N by 2 to represent "twice a number:"

2 x N

Then we add 2 to represent "two more than twice a number:"

2 x N + 2

Final, we know that "two more than twice a number" is "greater than negative sixteen," we can represent "greater than" with > and "negative sixteen" with -16:

2 x N + 2 > -16.

To solve for N, we need to undo the order of operations (PEMDAS). So first we undo any addition or subtraction by subtracting 2 from both sides:

2 x N + 2 -2 > -16 - 2

becomes

2 x N > -18

Then we undo any multiplication of division by dividing by 2 on both sides:

2 x N / 2 > -18 / 2

becomes

N > -9

Since we did not divide by a negative number in this inequality, we do not change the direction of the greater than symbol. N > -9 is the solution to this inequality.