Answer:
See below,
Step-by-step explanation:
2x > 50
Dividing both sides by 2:
x > 25 which is Graph C (because the red line is to the right of 25).
x + 6 < 32
x < 32 - 6
x < 26 which is Graph B .
Ques 1)
The first inequality is given by:
[tex]2x>50[/tex]
on dividing both side of the inequality by 2 we obtain:
[tex]x>25[/tex]
i.e. the solution set is the set of all the real values which are strictly greater than 25.
i.e. the shaded region is to the tight of 25 and there will be a open circle at 25 (Since the inequality is strict inequality )
i.e. the solution set is: (25,∞)
Hence, the graph which represents the inequality 2x>50 is: Graph C.
Ques 2)
The second inequality is given by:
[tex]x+6<32[/tex]
on subtracting both side of the inequality by 6 we get:
[tex]x+6-6<32-6\\\\i.e.\\\\x+0<26\\\\i.e.\\\\x<26[/tex]
This means that the solution set is the set of all the real values which are strictly less than 26.
i.e. the shaded region is to the left of 26 and there will be a open circle at 26 ( since the inequality is strict)
i.e. the solution set is: (-∞,26)
The graph which represents the inequality x+6<32 is: Graph B
