s/43603-c0361e3b1d5426d7.js","10489","static/chunks/10489-ec7637f00b8389d0.js","12625","static/chunks/12625-607ecf9e028af53e.js","53788","static/chunks/53788-3043b9f664c57fa6.js","4203","static/chunks/4203-2fca6889e79f1e15.js","90208","static/chunks/90208-7d9a30a13d7c6d21.js","55333","static/chunks/55333-005c1539e8547be5.js","65736","static/chunks/65736-98130e908cfc6dac.js","7611","static/chunks/7611-ffb645eb5787ed19.js","25026","static/chunks/25026-5ab70812bd7e55dd.js","76073","static/chunks/76073-febe343dc81d5a00.js","42688","static/chunks/42688-5bdbee014e5c925e.js","78665","static/chunks/78665-8b335402e7b89f49.js","29825","static/chunks/29825-0e678f2359675ffb.js","73244","static/chunks/73244-ab1954f798349178.js","87529","static/chunks/87529-62e50f700027fe19.js","44544","static/chunks/44544-3227caf2d1a65b08.js","56855","static/chunks/56855-7b85e9e23b76ec9b.js","28478","static/chunks/app/dn/qna/%5BquestionId%5D/page-68d107164bbeb88b.js"],"default"] 19:T45e,To solve the inequality \( 4b - 3 < \frac{b}{2} + 7 \), we will follow these steps: ### Step 1: Rearrange the inequality We want to get all the terms involving \( b \) on one side and the constant terms on the other side. Starting with: \[ 4b - 3 < \frac{b}{2} + 7 \] We can subtract \( \frac{b}{2} \) from both sides: \[ 4b - \frac{b}{2} - 3 < 7 \] Next, we can add 3 to both sides: \[ 4b - \frac{b}{2} < 7 + 3 \] \[ 4b - \frac{b}{2} < 10 \] ### Step 2: Combine like terms To combine \( 4b \) and \( -\frac{b}{2} \), we need a common denominator. The common denominator for 1 and 2 is 2. Convert \( 4b \) to have a denominator of 2: \[ 4b = \frac{8b}{2} \] Now substitute this back into the inequality: \[ \frac{8b}{2} - \frac{b}{2} < 10 \] Combine the fractions: \[ \frac{8b - b}{2} < 10 \] \[ \frac{7b}{2} < 10 \] ### Step 3: Eliminate the fraction To eliminate the fraction, multiply both sides of the inequality by 2: \[ 7b < 20 \] ### Step 4: Solve for \( b \) Now, divide both sides by 7: \[ b < \frac{20}{7} \] ### Final Solution Thus, the solution to the

Solve `4b - 3 lt (b)/(2) + 7 `

Text Solution

Similar Questions

Recommended Questions