Which of these inequalities match x < 5?
a) x - 1 < 4
b) x/5≤1
c) x + 45 < 50
d) 4 + x > 9
e) 12x ≥ 60
f) 7x < 35
a) Yes, because when we add 1 to both sides we get x < 5
b) No, because when we multiply by 5 to both sides we get x ≤ 5 (wrong inequality sign)
c) Yes, because when we subtract 45 from both sides we get x < 5
d) No, because when we subtract 5 from both sides we get x > 5 (wrong inequality sign)
e) No, because when we divide by 12 on both sides we get x ≥ 5 (wrong inequality sign)
f) Yes, because when we divide by 5 on both sides we get x < 5
Which graph match this inequality?
x - 2.7 > 2.3
a)
b)
c)
d)
If you add 2.7 to each side, you will get x > 5. Therefore, d is the correct answer since it has an open circle with an arrow to the right.
What is the solution to 1/5x≥4/7 ?
a) x ≤ 4/35
b) x ≤ 20/7
c) x ≥ 4/35
d) x ≥ 20/7
5/1•1/5x≥4/7•5/1
x ≥ 20/7
h ≤ 7
a) h - 7 > 0
b) 10h ≤ 70
c) h/7≤1
d) h + 4 < 11
a) No, because when we add 7 to both sides we get h > 7 (wrong inequality sign)
b) Yes, because when we divide by 10 on both sides we get h ≤ 7
c) Yes, because when we multiply 7 to both sides we get h ≤ 1
d) No, because when we subtract 4 from both sides we get h < 7 (wrong inequality sign)
4 1/2b<10
Which graph matches the inequality?
a)
b)
c)
d)
Even without solving, I can see that I have the less than sign, which means that it is an open circle to the left. So the correct answer is A.
Solve this inequality.
f/12>12
I need to multiply by 12 on both sides so the answer is f>144.