I don't know where to start.The questions says: Give an inequality that has the given solution:
a) -2 < or = X < or = 7
Am I supposed to substitute something? Or just guess an equation that might work?
-7<x-5<2
(x+2)(x-7) <= 0
To give an inequality that has the given solution, you need to create an inequality that includes the range of values given in the solution. In this case, the solution is -2 ≤ x ≤ 7.
To create an inequality, you can use the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to), along with the variable x.
To form the inequality that matches the given solution -2 ≤ x ≤ 7, you need to break it down into two separate inequalities:
1) For -2 ≤ x, the inequality will be x ≥ -2. This inequality states that x must be greater than or equal to -2 (or x cannot be less than -2).
2) For x ≤ 7, the inequality will be x ≤ 7. This inequality states that x must be less than or equal to 7 (or x cannot be greater than 7).
Therefore, the inequality that has the given solution -2 ≤ x ≤ 7 is -2 ≤ x ≤ 7.