One half a number increased by three is greater than zero or less than or equal to negative three

The required inequality for both the statement is:  and

The solution for the inequalities are x>-6 and respectively.

Step-by-step explanation:

Consider the provided information.

One half a number increased by three is greater than zero

Let the number is x.

Thus, the required inequality is:

Or One half a number increased by three is less than or equal to negative three.

Thus, the required inequality is:

Now solve the above inequality for x.

 or  

 or  

 or  

 or  

Hence, the value of x is  or  

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.