2 Answers

Urigo · Answer 1 · 2017-08-18T13:48:03+0000

Answer:

The required inequality for both the statement is:
and
$(1)/(2)x+3\leq -3$

The solution for the inequalities are x>-6 and
$x\leq -12$ respectively.

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:

(1)/(2) x+3>0

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

Thus, the required inequality is:

$(1)/(2)x+3\leq -3$

Now solve the above inequality for x.

(1)/(2) x+3>0 or
$(1)/(2)x+3\leq -3$

(1)/(2) x>-3 or
$(1)/(2)x\leq -3-3$

x>-3* 2 or
$(1)/(2)x\leq -6$

x>-6 or
$x\leq -12$

Hence, the value of x is
or
$x\leq -12$

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