Answer:
Equation 1 matches with number 9.
Equation 2 matches with number 7.
Equation 3 matches with number 1.
Equation 4 matches with number 3.
Equation 5 matches with number 5.
Explanation:
Equation 1: −9x > −9
−9x > −9
Divide both sides by −9.
-9x/-9 = -9/-9
Since −9 is negative, the inequality direction is changed.
x < 1
x < 1 matches with the graphed solution of number 9.
So, Equation 1 matches with number 9.
Equation 2: 2x + 6≥ −2
2x + 6≥ −2
Step 1: Subtract 6 from both sides
2x + 6 − 6 ≥ −2 − 6
2x ≥ −8
Step 2: Divide both sides by 2
2x/2 ≥ −8/2
Step 3: Simplify
x ≥ -4
x ≥ -4 matches with the graphed solution of number 7.
So, Equation 2 matches with number 7.
Equation 3: x − 9 < −5
x − 9 < −5
Step 1: Add 9 to both sides.
x − 9 + 9 < −5 + 9
x < 4
x < 4 matches with the graphed solution of number 1.
So, Equation 3 matches with number 1.
Equation 4: −6x < −12
−6x < −12
Divide both sides by -6
-6x/-6 < -12/-6
Since −6 is negative, the inequality direction is changed
x > 2
x > 2 matches with the graphed solution of number 3.
So, Equation 4 matches with number 3.
Equation 5: -7x + 20 > 55
Step 1: Subtract 20 from both sides.
−7x + 20 − 20 > 55 − 20
Step 2: Simplify
−7x > 35
Step 3: Divide both sides by -7.
-7x/-7 > 35/-7
Step 4: Simplify
x < -5
Since −7 is negative, the inequality direction is changed
x < -5 matches with the graphed solution of number 5.
So, Equation 5 matches with number 5.
Hint: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠)