5-3: Solve equations using the distributive property
What is inequality?
A statement that contains <, >, ≤, ≥ to compare two expressions.
What is the difference between an open dot and a closed dot on a number line?
Open Dot: The number is not included Closed Dot: The number is included
Solve the inequality 3d>300
d>100
Solve for t: 45+5t≥150
t≥11
Solve for f: 2(f-4)≥2
f≥5
Solve for x: 5(x+17)=1495
x=282
Solve for x: x-8≥-3
x>5
Solve the inequality d/7>15
d<105
Solve for x: 3+4x>27
x>5
Solve for x: -3(x+4)+3≥9
x≤-6
A family buys 5 airline tickets and travel insurance cost is $20 per ticket. The total cost is $2856. Let x represent the price of one ticket.
x=551
Solve the inequality using property of subtraction. v+20>2
v>-18
Solve the inequality: -4x>12
x<3
Solve for x: 1/2+8≤10
x≤4
Solve for t 2(3.5t-2)+6t≥-2
t≥2/13
Solve for b: -4(6-b)=4
b=7
Chris pays a fee if her bank falls below $10 on the statement date. Prior to the statement date, her balance was $-3.46. Then, Chris made a deposit, d, in ample time, so she didn't pay the fee. Write an inequality to reperesent.
-3.46+d ≤10
Solve the inequality: -1/8y≥34
y≥272
Solve for x: -3x-24≤-36
x≤-4
Solve for n: 4(-2n+2.5)-8≤50
n≤6
What series of steps would result in the correct solution to the equation: -8(0.5-3)=3
Diego's neighbors payed him to take care of their when they went on vacation. He spent $13 of his earnings on a book and $9 on some art supplies. Afterwards, he had $10 left. Write an inequality to represent how much Diego's neighbors paid him. Then solve inequality.
p≤32
Solve the inequality: x/6<-12
x<-72
Solve for n: 1/8n≥-17
n≥-136
Solve for w: 2(w+3)+2w<30
w<6