Answer:
option C
Step-by-step explanation:
x + 5 <= 1
taking down 5 from both the sides
x + 5 - 5 <= 1 - 5
x <= -4 ...inequality (¡)
x - 7 > -3
taking down -7 from both the sides
x - 7 + 7 > -3 + 7
x > 4 ...inequality (¡¡)
hence, the answer is x <= -4 or x > 4
and it's graph is that of option C.
options A and C displays the same graphical representation but A ain't correct cause the inequality it carried does match with the one obtained as answer.
<= denotes less than or equal to
to plot x <= a
we move towards the left of "a" on the number line it and place a dot on a
> represents greater than
to plot x > b
we kove towards the right of "b" on the number line and place a hollow point on b.
Considering the definition of an inequiality, the result of the inequality is x≤ -4 or x>4. So, the correct answer is option C.
An inequality is an algebraic inequality in which its two members are joined by one of these signs >, <, ≥ and ≤ in which there are one or more unknown values called unknowns, in addition to certain known data.
The existing inequality between the two algebraic expressions is only verified, or rather, it is only true for certain values of the unknown.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
First of all, keep in mind that when a value that you are adding passes to the other side of the inequality, it will do so by subtracting.
Solving in this case: x≤1 -5
x≤ -4
Solving x -7> -3
If a value you are subtracting goes to the other side of the inequality, it will do so by adding.
Solving in this case: x> -3 +7
x>4
In summary, the result of the inequality is x≤ -4 or x>4. So, the correct answer is option C.
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