Question 88
If m is a whole number less than 5, complete the table and by inspection of the table, find the solution of the equation 2m−5=−1.
m 2m−5
Since, m is a whole number which is less than 5, then solution of the equation is given by substituting the given values:
m = 0, 1, 2, 3, 4
m 0 1 2 3 4 2m−5 (2×0)−5=−5 (2×1)−5=−3 (2×2)−5=−1 (2×3)−5=1 (2×4)−5=3
By observing the table above, we can understand that only m= 2 is satisfying the given equation.
∴The solution of the equation 2m−5=−1 is m=2.