Solve the inequality -12 ≤ 2x -4 < 10
2 answers:
Answer:
-4 ≤ x < 7
Step-by-step explanation:
Method 1: Split the inequality into two parts,
-12 ≤ 2x-4
and
2x -4 < 10
Solve.
-8 ≤ 2x
2x ≥ -8
x ≥ -4
and
2x < 14
x < 7
So, x is greater than (or equal to) -4, but less than 7.
-4 ≤ x < 7
Method 2:
-12 ≤ 2x - 4 < 10
Add 4 to both sides.
-8 ≤ 2x < 14
Divide both sides by 2.
-4 ≤ x < 7
Answer:
-4 ≤ x <7
x is greater than or equal to -4, and x is less than 7
Step-by-step explanation:
Take each side and solve
-12 ≤ 2x -4
subtract 4 on both sides
-8 ≤ 2x
divide by 2 on both sides
-4 ≤ x
2x -4 < 10
add 4 on both sides
2x < 14
divide by two on both sides
x < 7
Final answer:
-4 ≤ x <7
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