Answer:
-5
Explanation:
taking - common
- (5x + 7) >= 17
you must have heard that the direction of inequality gets inverted when the signs of equations on both sides is inverted.
so,
5x + 7 <= - 17
5x + 7 - 7 <= -17 - 7
5x <= - 24
x <= -24/ 5
so, the value of x can be less than or equal to -24/ 5
upon solving -24/5 we get -4.8
and the question is asking for largest integral value, then it will be - 5
check the number line for this
-6 -5 -4.8 -4 -3 -2 ....
suppose this is a number line.
the value of x lies on the left side of -4.8 and -4.8 is not an integer so we'll skip onto -5 which is the following integer on the required side.
so the answer is -5