Answer:
1. 5 is a solution to the inequality
2. 8 is a solution to the inequality
3. q=20 is a possible solution to the inequality
4. t=28 is not a possible solution to the inequality
Step-by-step explanation:
1.
1+f<7
subtract 1 from both sides of the inequality;
f<7-1
f<6
The value of f should therefore be strictly less than 6. From the alternatives given only the number 5 meets this condition and is thus a solution to the inequality.
2.
g-3>4
add 3 to both sides of the inequality;
g>4+3
g>7
The value of g should therefore be strictly greater than 7. From the alternatives given only the number 8 meets this condition and is thus a solution to the inequality.
3.
q-2>16
add 2 to both sides of the inequality;
q>16+2
q>18
The value of q should therefore be strictly greater than 18. Consequently, q=20 is a solution to the inequality since;
20>18
4.
t-7<10
add 7 to both sides of the inequality;
t<10+7
t<17
The value of t should therefore be strictly less than 17. Consequently, t=28 is not a solution to the inequality since;
28 is not less than 17.
