please help me solve these inequalities! math. picture below plss help

Question

joancrawford · Answer

hiii plls help i'd greatly appreciate it solve one or two or more, anything you can

Vocaloid · Answer

You’d solve for x the same way you’d solve a regular equation.

I’m not going to do all of them but I can walk you through #1 and let you try the rest on your own.

1. 2 + 3x < 5
Subtract 2 from both sides

3x < 3

Divide both sides by 3

x < 1

It also asks to graph the solution on a number line.
Because x is less than 1, we exclude 1, and thus draw an open circle on x = 1. Then, because x is *less* than 1, we draw an arrow from the circle pointing left to represent all numbers below 1.

KyledaGreat · Answer

I'll be happy to help you solve these inequalities and mark the solutions on a number line: 1. 2 + 3x < 5 Subtract 2 from both sides: 3x < 3 Divide both sides by 3: x < 1 Mark the solution on the number line with an open circle at 1 and shade to the left of 1.

o

> -2 -1 0 1 2 3 4 2. 1/2 * (2x + 3) < 6 Distribute 1/2: x + 3/2 < 6 Subtract 3/2 from both sides: x < 9/2 Mark the solution on the number line with an open circle at 9/2 and shade to the left of 9/2.

o

> -4 -3 -2 -1 0 1 2 3 4 5 6 3. 16x + 64 <= 16 Subtract 64 from both sides: 16x <= -48 Divide both sides by 16: x <= -3 Mark the solution on the number line with a closed circle at -3 and shade to the left of -3. <

o

-6 -5 -4 -3 -2 -1 0 4. 3x + 5 > 1/4 * (x - 2) Distribute 1/4: 3x + 5 > 1/4 * x - 1/2 Subtract 1/4 * x from both sides: 11/4 * x + 5 > -1/2 Subtract 5 from both sides: 11/4 * x > -11/2 Divide both sides by 11/4 (or multiply by the reciprocal): x > -2 Mark the solution on the number line with an open circle at -2 and shade to the right of -2. <

o

> -6 -5 -4 -3 -2 -1 0 1 2

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