Question

solve and reperesent it on number line -2x+13x ≤13x + +1<24+10x, x € z ​

Answer 1

Answer:

Solving left side inequation,

−2+10x≤13x+10

⇒−12≤3x

⇒x≥−4 .. (1)

Similarly , solve right side in-equation,

13x+10<24+10x

⇒3x<14

⇒x<

3

14

.. (2)

From eq. (1) & (2),

x∈[−4,

3

14

)

As, x∈Z

Therefore, x∈{−4,−3,−2,−1,0,1,2,3,4}