Ask AI: -4<2x+2<10 on number graph

The inequality -4<2x+2<10 can be broken down into two simpler inequalities: -4 < 2x + 2 and 2x + 2 < 10 Then, let's solve for x for each inequality: The first inequality: -4 < 2x + 2 Subtract 2 from both sides: -4 - 2 < 2x So, -6 < 2x Then, divide both sides by 2: -3 < x. So, the solution for the first inequality is x > -3 The second inequality: 2x + 2 < 10 Subtract 2 from both sides: 2x < 10 - 2 So, 2x < 8 Then divide both sides by 2: x < 8 / 2 So, x < 4. So, the solution for the second inequality is x < 4. Then combining our results, our solution for -4<2x+2<10 is -3 < x < 4. On a number graph, this would be represented by an open point at -3 and an open point at 4, with a line connecting them, indicating that x can be any number in between -3 and 4, but not -3 or 4 themselves.