Solve the inequality and graph the solution on the line provided.
minus, 70, minus, 6, x, is less than or equal to, minus, 112
−70−6x≤
−112
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Inequality Notation: -70 - 6x ≤ -112
Number Line:
-140 -112 -70
Solve the inequality and graph the solution on the line provided.
minus, 70, minus, 6, x, is less than or equal to, minus, 112
−70−6x≤
−112
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Inequality Notation: -70 - 6x ≤ -112
Number Line:
-140 -112 -70
???
Apologies for the duplicate response. Let's solve the inequality step by step:
-70 - 6x ≤ -112
Step 1: To isolate the variable term, add 70 to both sides:
-6x ≤ -112 + 70
Simplifying:
-6x ≤ -42
Step 2: To solve for x, divide both sides by -6, remembering to reverse the inequality because we are dividing by a negative number:
x ≥ -42 / -6
Simplifying:
x ≥ 7
So the solution for the inequality is x ≥ 7. Now, let's graph the solution on the number line:
-140 -112 -70 7------------->
|__________|__|_______|_______|
not shaded | solution |
less than or equal to
The shaded portion to the right of the number 7 represents the solution to the inequality x ≥ 7.
Solve the inequality and graph the solution on the line provided.
minus, 7, minus, 4, x, is greater than, 1
−7−4x>
1
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Inequality Notation: -7 - 4x > 1
Number Line:
-1 1 7--------------->
The solution to the inequality -7 - 4x > 1 is x < -2. Let's graph this on the number line:
-1 1 7--------------->
|______________|______|_______|
not shaded | solution |
greater than
The shaded portion to the left of the number -2 represents the solution to the inequality x < -2.
Solve the inequality and graph the solution on the line provided.
9, plus, 4, x, is greater than or equal to, 37
9+4x≥
37
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Inequality Notation: 9 + 4x ≥ 37
Number Line:
9 37------------------>
The solution to the inequality 9 + 4x ≥ 37 is x ≥ 7. Let's graph this on the number line:
9 37------------------>
|__________|________________|
| solution |
greater than or equal to
The shaded portion to the right of the number 7 represents the solution to the inequality x ≥ 7.