Question

3(x + 3) − 2 < 4
does anyone know this?

Answer 1

Inequality Form: x < −1

Interval Notation: (−∞, −1)

Explanation:

3 (x + 3) −2 < 4

Simplify 3 (x + 3) − 2.

Apply the distributive property.

3x + 3 ⋅ 3 − 2 < 4

Multiply 3 by 3.

3x + 9 − 2 < 4

Subtract 2 from 9.

3x + 7 < 4

Move all terms not containing x to the right side of the inequality.

Subtract 7 from both sides of the inequality.

3x < 4 − 7

Subtract 7 from 4.

3x < −3

Divide each term by 3 and simplify.

x < −1

The result can be shown in multiple forms.

Inequality Form: x < −1

Interval Notation: (−∞, −1)

Answer 2

Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1

Explanation:

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.