One-Step Inequalities
Write, solve, graph, interval
Twice a number is greater than eight
x > 4
Solving Inequalities
Solve for x.
4x + 3 < 7
x < 1
Solve the following compound inequality.
w+2 < 5 OR w-1>6
w<3 OR w>7
When you graph the solution to this inequality, you use a closed circle.
6t - 12 ≥ 12
True.
Graph the inequality.
x is a minimum of -3
Closed circle at -3 and shaded to the right.
The sum of a number and four is less than -88
X < -92
Solving Inequalities
Solve for x.
2x - 5 > - 11
x > -3
Solve the inequality
x+3<7 and 2x+3>1
-1<x<4
When you graph the solution to this inequality, you use a closed circle.
4x + 2 < 9
False.
Graph the inequality
-5 is greater than x
Open circle at -5 and shaded to the left.
The quotient of a number and -30 is no less than -70
z <= 2,100
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x < 8
Solve and graph the following compound inequality:
3x + 2 < 5 OR -4x + 5 ≤ -7
x<1 OR x≥3
A closed circle is used to represent the inequalities < and > .
False
Graph all numbers greater than -2 or less than -5
Open circle at -2 and shaded to the right.
Open circle at -5 and shaded to the left.
The product of a number and -4 is under 14
x > -3.5
Solve for v.
v/3 + 14 <= 30
v < 48
Solve and graph the compound inequality.
-3≤ 2x+3 <5
-3 ≤ x < 1
x = -3 is a solution to -4 > x
False
Graph all values between 9 and 11 inclusive
Closed circle at 9 and shaded to the right until you make an open circle at 11 (shading is between 9 and 11)
The difference of a number and nine is at most -58
f <= -49
Solve this inequality:
11 < 2 - 3x
x < - 3
Solve and Graph the inequality:
-4<=(x+1)/-3<7
-22<x<=11
x = 5 is a solution to 3 + x ≤ 8
TRUE
Graph numbers up to 16
Open circle at 16 and shaded to the left.