Graphing and Writing Inequalities
True or False 4>5
F
x+9<15
x<6
3x>27
x>9
160+4f<=500
f<=85
Write this inequality out in notation or in line graph: 3x-4>5
(3,infinity) or example
Ten less than a number x is greater than 32
x-10>32; x>42
-50>=5q
q<=-10
4c-7>5
c>3
Graph inequality b<-1.5 using a line graph
See representation.
Solve the inequality and graph out the problem
a-3>=5
a>=5 and show graph
Solve the inequality and graph the solution
w/4>=-2
w>=-8 and show the graph
Write out the inequality for each statement. Solve the inequality and graph the solutions.
One-half of a number, increased by nine, less than 33
1/2n+9<33, n<48 and show the graph
Describe the solution of the inequality in words: -2t>-8
All real numbers less than four.
Is x<10 a reasonable estimate for the solutions to the inequality 11.879+x<21.709
Yes if we rounded up the numbers it'd be 12+x<22 where x<10
Write an inequality for the statement, solve the inequality and graph it.
The product of a number and 7 is not less than 21
7x>=21,x>=3, show the graph
The area of the triangle shown is less than 55 sq. inches. The base is 5in and the height is (2x+3)in. Write the inequality out, solve for it and give the max height.
1/2*5*(2x+3)<55,x<9.5,22in
The maximum speed allowed on Main St. is 25 miles per hour. Write the inequality in given notation.
s= speed; s is greater than or equal to 25 (0,25]
Determine whether the statement is sometimes, always or never true and explain.
If (x+b)>c and x>0 have the same solutions what is the relationship between b and c?
b and c are equal
Explain why you cannot solve an inequality by multiplying both sides by zero
Both sides would equal 0 therefore there'd be no inequality
What is the least whole number that is a solution of 4r-4.9>14.95
r=5