Solve the inequality. HELPPP ME PLZZ
3/4x − 2/3 ≤ 5/6
Choose the solution that is graphed on this number line.
A. x < 2
B. x > 2
C. x ≤ 2
D. x ≥ 2
Answers
c
Step-by-step explanation:
if you look at the graph, if there is a closed circle, that means x can be equal to whatever number the circle is on. if the circle is open, that means you don't include that number, which is in this case two. a closed circle means that x can be equal to 2. since the arrow is going from 2 to the left, x can be anything from two to any real numbers to the left. therefore, since to the left goes to numbers smaller than 2, x can either be equal to or less than two.
The solution of the inequality 3/4 x - 2/3 ≤ 5/6 which is graphed on given number line is x ≤ 2.
Here inequality is given as;
3/4 x - 2/3 ≤ 5/6
What is inequality?
A statement of an order relationship; less than, greater than, greater than or equal to, less than or equal to, between two algebraic expression is known as inequality.
Now,
3/4 x - 2/3 ≤ 5/6
3/4 x - 2/3 + 2/3 ≤ 5/6 + 2/3
3/4 x ≤ 7/3
Now multiply both side by 4/3;
[tex]\frac{3}{4} x *\frac{4}{3} \leq \frac{7}{3} *\frac{4}{3} \\x\leq \frac{28}{9} \\x\leq 3.11\\[/tex]
Hence, The solution of the inequality 3/4 x - 2/3 ≤ 5/6 which is graphed on given number line is x ≤ 2.
Learn more about the Inequality visit:
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